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Least Common Multiple (LCM) of 76 and 44

The least common multiple (LCM) of 76 and 44 is 836.

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 44?

First, calculate the GCD of 76 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 44 = 1 remainder 32
2 44 ÷ 32 = 1 remainder 12
3 32 ÷ 12 = 2 remainder 8
4 12 ÷ 8 = 1 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 1309230
116 and 252900
171 and 1262394
131 and 18223842
175 and 14425200

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