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Least Common Multiple (LCM) of 108 and 157

The least common multiple (LCM) of 108 and 157 is 16956.

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 108 and 157?

First, calculate the GCD of 108 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 108 ÷ 157 = 0 remainder 108
2 157 ÷ 108 = 1 remainder 49
3 108 ÷ 49 = 2 remainder 10
4 49 ÷ 10 = 4 remainder 9
5 10 ÷ 9 = 1 remainder 1
6 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 1185782
200 and 641600
178 and 18416376
73 and 795767
84 and 16914196

Try Calculating LCM of Other Numbers







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