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Least Common Multiple (LCM) of 72 and 110

The least common multiple (LCM) of 72 and 110 is 3960.

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 72 and 110?

First, calculate the GCD of 72 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 110 = 0 remainder 72
2 110 ÷ 72 = 1 remainder 38
3 72 ÷ 38 = 1 remainder 34
4 38 ÷ 34 = 1 remainder 4
5 34 ÷ 4 = 8 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 1248804
45 and 683060
57 and 1709690
14 and 120840
166 and 1068798

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