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Least Common Multiple (LCM) of 151 and 20

The least common multiple (LCM) of 151 and 20 is 3020.

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 151 and 20?

First, calculate the GCD of 151 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 151 ÷ 20 = 7 remainder 11
2 20 ÷ 11 = 1 remainder 9
3 11 ÷ 9 = 1 remainder 2
4 9 ÷ 2 = 4 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
158 and 193002
96 and 12111616
39 and 431677
37 and 552035
75 and 715325

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