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Least Common Multiple (LCM) of 45 and 20

The least common multiple (LCM) of 45 and 20 is 180.

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 45 and 20?

First, calculate the GCD of 45 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 20 = 2 remainder 5
2 20 ÷ 5 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 952660
188 and 254700
10 and 1491490
120 and 10120
45 and 1135085

Try Calculating LCM of Other Numbers







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