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Least Common Multiple (LCM) of 77 and 109

The least common multiple (LCM) of 77 and 109 is 8393.

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 77 and 109?

First, calculate the GCD of 77 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 109 = 0 remainder 77
2 109 ÷ 77 = 1 remainder 32
3 77 ÷ 32 = 2 remainder 13
4 32 ÷ 13 = 2 remainder 6
5 13 ÷ 6 = 2 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 571995
21 and 154462
177 and 392301
111 and 778547
182 and 35910

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