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Least Common Multiple (LCM) of 187 and 100

The least common multiple (LCM) of 187 and 100 is 18700.

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 187 and 100?

First, calculate the GCD of 187 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 187 ÷ 100 = 1 remainder 87
2 100 ÷ 87 = 1 remainder 13
3 87 ÷ 13 = 6 remainder 9
4 13 ÷ 9 = 1 remainder 4
5 9 ÷ 4 = 2 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 13913344
194 and 438342
120 and 824920
33 and 1441584
80 and 272160

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