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Least Common Multiple (LCM) of 100 and 76

The least common multiple (LCM) of 100 and 76 is 1900.

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 76?

First, calculate the GCD of 100 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 76 = 1 remainder 24
2 76 ÷ 24 = 3 remainder 4
3 24 ÷ 4 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 38228
173 and 19133043
107 and 434601
166 and 315146
15 and 102510

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