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Numbers and Elementary Mathematics
Published in Dan Zwillinger, CRC Standard Mathematical Tables and Formulas, 2018
The least common multiple of the integers a and b (denoted LCM(a,b) $ LCM(a, b) $ ) is the least integer r that is divisible by both a and b. The simplest way to find the LCM of a and b is via the formula LCM(a,b)=ab/GCD(a,b) $ LCM(a, b) = ab/GCD(a, b) $ . For example, LCM(10, 4) = 10·4GCD(10,4)=10·42=20. $ \frac{10 \cdot 4}{GCD(10,4)} = \frac{10 \cdot 4}{2} = 20. $
Basic arithmetic
Published in John Bird, Basic Engineering Mathematics, 2017
A multiple is a number which contains another number an exact number of times. The smallest number which is exactly divisible by each of two or more numbers is called the lowest common multiple (LCM).
Semi-tensor product approach for partially symmetric games
Published in Journal of Control and Decision, 2022
Let , . The left semi-tensor product of A and B is defined as , where ⊗ is the Kronecker product and is the least common multiple of n and p. When no confusion may arise it is usually called the semi-tensor product (STP).
Image encryption algorithm based on semi-tensor product theory
Published in Journal of Modern Optics, 2022
Yi Xiao, Zhen-Rong Lin, Qian Xu, Jin Du, Li-Hua Gong
If the least common multiple between and is , then the left half tensor product operation of the matrix is where is the sign of the left half tensor product operation.
On the McMillan degree of full-normal-rank transfer functions
Published in International Journal of Control, 2021
Khaled F. Aljanaideh, Ovidiu Furdui, Dennis S. Bernstein
Assume that, for all and and are coprime. Then, is the least common multiple of .