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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
98 and 12712446
180 and 6110980
44 and 1175148
31 and 993069
14 and 168168

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