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Least Common Multiple (LCM) of 123 and 64

The least common multiple (LCM) of 123 and 64 is 7872.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 123 and 64?

First, calculate the GCD of 123 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 64 = 1 remainder 59
2 64 ÷ 59 = 1 remainder 5
3 59 ÷ 5 = 11 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 467130
100 and 90900
127 and 13717399
18 and 1121008
138 and 391794

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