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Least Common Multiple (LCM) of 120 and 77

The least common multiple (LCM) of 120 and 77 is 9240.

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 120 and 77?

First, calculate the GCD of 120 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 77 = 1 remainder 43
2 77 ÷ 43 = 1 remainder 34
3 43 ÷ 34 = 1 remainder 9
4 34 ÷ 9 = 3 remainder 7
5 9 ÷ 7 = 1 remainder 2
6 7 ÷ 2 = 3 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
26 and 451170
60 and 1161740
26 and 471222
152 and 375624
101 and 121212

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