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Least Common Multiple (LCM) of 36 and 120

The least common multiple (LCM) of 36 and 120 is 360.

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 36 and 120?

First, calculate the GCD of 36 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 120 = 0 remainder 36
2 120 ÷ 36 = 3 remainder 12
3 36 ÷ 12 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 141134
73 and 977081
71 and 735183
144 and 1296192
17 and 1592703

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