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Least Common Multiple (LCM) of 64 and 119

The least common multiple (LCM) of 64 and 119 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 64 and 119?

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

Step-by-Step GCD Calculation

StepCalculation
1 64 ÷ 119 = 0 remainder 64
2 119 ÷ 64 = 1 remainder 55
3 64 ÷ 55 = 1 remainder 9
4 55 ÷ 9 = 6 remainder 1
5 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
69 and 1308970
183 and 1629882
176 and 1281408
150 and 120600
158 and 1149006

Try Calculating LCM of Other Numbers







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