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Least Common Multiple (LCM) of 151 and 157

The least common multiple (LCM) of 151 and 157 is 23707.

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 151 and 157?

First, calculate the GCD of 151 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 151 ÷ 157 = 0 remainder 151
2 157 ÷ 151 = 1 remainder 6
3 151 ÷ 6 = 25 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 233841
28 and 48336
36 and 63252
170 and 20340
131 and 192489

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