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Least Common Multiple (LCM) of 64 and 106

The least common multiple (LCM) of 64 and 106 is 3392.

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 64 and 106?

First, calculate the GCD of 64 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 64 ÷ 106 = 0 remainder 64
2 106 ÷ 64 = 1 remainder 42
3 64 ÷ 42 = 1 remainder 22
4 42 ÷ 22 = 1 remainder 20
5 22 ÷ 20 = 1 remainder 2
6 20 ÷ 2 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
160 and 477520
130 and 342210
114 and 502850
120 and 232760
73 and 1037519

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