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Least Common Multiple (LCM) of 76 and 200

The least common multiple (LCM) of 76 and 200 is 3800.

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 76 and 200?

First, calculate the GCD of 76 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 200 = 0 remainder 76
2 200 ÷ 76 = 2 remainder 48
3 76 ÷ 48 = 1 remainder 28
4 48 ÷ 28 = 1 remainder 20
5 28 ÷ 20 = 1 remainder 8
6 20 ÷ 8 = 2 remainder 4
7 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
85 and 45765
27 and 1002700
158 and 11317854
184 and 376808
132 and 10660

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