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Least Common Multiple (LCM) of 101 and 120

The least common multiple (LCM) of 101 and 120 is 12120.

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 101 and 120?

First, calculate the GCD of 101 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 101 ÷ 120 = 0 remainder 101
2 120 ÷ 101 = 1 remainder 19
3 101 ÷ 19 = 5 remainder 6
4 19 ÷ 6 = 3 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
28 and 1674676
59 and 392301
26 and 1221586
172 and 417052
182 and 65910

Try Calculating LCM of Other Numbers







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