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Least Common Multiple (LCM) of 81 and 77

The least common multiple (LCM) of 81 and 77 is 6237.

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 81 and 77?

First, calculate the GCD of 81 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 77 = 1 remainder 4
2 77 ÷ 4 = 19 remainder 1
3 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
50 and 125250
185 and 264810
166 and 10517430
112 and 1191904
162 and 13121222

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