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Least Common Multiple (LCM) of 61 and 128

The least common multiple (LCM) of 61 and 128 is 7808.

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 61 and 128?

First, calculate the GCD of 61 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 128 = 0 remainder 61
2 128 ÷ 61 = 2 remainder 6
3 61 ÷ 6 = 10 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 431677
83 and 191577
37 and 1886956
103 and 687004
170 and 13723290

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