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Least Common Multiple (LCM) of 76 and 128

The least common multiple (LCM) of 76 and 128 is 2432.

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 128?

First, calculate the GCD of 76 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 128 = 0 remainder 76
2 128 ÷ 76 = 1 remainder 52
3 76 ÷ 52 = 1 remainder 24
4 52 ÷ 24 = 2 remainder 4
5 24 ÷ 4 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
44 and 1583476
105 and 175525
176 and 1807920
133 and 11615428
165 and 1003300

Try Calculating LCM of Other Numbers







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