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Least Common Multiple (LCM) of 100 and 157

The least common multiple (LCM) of 100 and 157 is 15700.

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 157?

First, calculate the GCD of 100 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 157 = 0 remainder 100
2 157 ÷ 100 = 1 remainder 57
3 100 ÷ 57 = 1 remainder 43
4 57 ÷ 43 = 1 remainder 14
5 43 ÷ 14 = 3 remainder 1
6 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 171190
18 and 86774
26 and 30390
78 and 812106
42 and 1284

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