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Least Common Multiple (LCM) of 20 and 51

The least common multiple (LCM) of 20 and 51 is 1020.

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 20 and 51?

First, calculate the GCD of 20 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 51 = 0 remainder 20
2 51 ÷ 20 = 2 remainder 11
3 20 ÷ 11 = 1 remainder 9
4 11 ÷ 9 = 1 remainder 2
5 9 ÷ 2 = 4 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 82984
26 and 1081404
188 and 1004700
106 and 18319398
188 and 361692

Try Calculating LCM of Other Numbers







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