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Least Common Multiple (LCM) of 106 and 64

The least common multiple (LCM) of 106 and 64 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 106 and 64?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
107 and 16918083
57 and 1156555
166 and 18615438
181 and 315611
194 and 112134

Try Calculating LCM of Other Numbers







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