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Least Common Multiple (LCM) of 51 and 180

The least common multiple (LCM) of 51 and 180 is 3060.

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 51 and 180?

First, calculate the GCD of 51 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 51 ÷ 180 = 0 remainder 51
2 180 ÷ 51 = 3 remainder 27
3 51 ÷ 27 = 1 remainder 24
4 27 ÷ 24 = 1 remainder 3
5 24 ÷ 3 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 1776195
149 and 17726373
18 and 41738
148 and 261924
49 and 1085292

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