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Least Common Multiple (LCM) of 77 and 113

The least common multiple (LCM) of 77 and 113 is 8701.

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 113?

First, calculate the GCD of 77 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 113 = 0 remainder 77
2 113 ÷ 77 = 1 remainder 36
3 77 ÷ 36 = 2 remainder 5
4 36 ÷ 5 = 7 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 7513425
94 and 14713818
163 and 477661
107 and 788346
54 and 1711026

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