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Least Common Multiple (LCM) of 99 and 120

The least common multiple (LCM) of 99 and 120 is 3960.

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 99 and 120?

First, calculate the GCD of 99 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 120 = 0 remainder 99
2 120 ÷ 99 = 1 remainder 21
3 99 ÷ 21 = 4 remainder 15
4 21 ÷ 15 = 1 remainder 6
5 15 ÷ 6 = 2 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 10410088
173 and 111903
91 and 746734
108 and 616588
120 and 881320

Try Calculating LCM of Other Numbers







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