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Least Common Multiple (LCM) of 120 and 11

The least common multiple (LCM) of 120 and 11 is 1320.

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 11?

First, calculate the GCD of 120 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 11 = 10 remainder 10
2 11 ÷ 10 = 1 remainder 1
3 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 1647052
73 and 967008
146 and 20014600
20 and 891780
52 and 1503900

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