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Least Common Multiple (LCM) of 100 and 187

The least common multiple (LCM) of 100 and 187 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 100 and 187?

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

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 187 = 0 remainder 100
2 187 ÷ 100 = 1 remainder 87
3 100 ÷ 87 = 1 remainder 13
4 87 ÷ 13 = 6 remainder 9
5 13 ÷ 9 = 1 remainder 4
6 9 ÷ 4 = 2 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
65 and 1539945
197 and 8216154
36 and 1521368
27 and 93837
199 and 275373

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