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Least Common Multiple (LCM) of 119 and 64

The least common multiple (LCM) of 119 and 64 is 7616.

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 119 and 64?

First, calculate the GCD of 119 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 119 ÷ 64 = 1 remainder 55
2 64 ÷ 55 = 1 remainder 9
3 55 ÷ 9 = 6 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
66 and 18198
17 and 153153
153 and 1748874
72 and 1339576
142 and 1409940

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