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Least Common Multiple (LCM) of 157 and 187

The least common multiple (LCM) of 157 and 187 is 29359.

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 157 and 187?

First, calculate the GCD of 157 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 157 ÷ 187 = 0 remainder 157
2 187 ÷ 157 = 1 remainder 30
3 157 ÷ 30 = 5 remainder 7
4 30 ÷ 7 = 4 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
66 and 1681848
157 and 7912403
30 and 491470
114 and 1347638
52 and 1779204

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