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Least Common Multiple (LCM) of 135 and 110

The least common multiple (LCM) of 135 and 110 is 2970.

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 135 and 110?

First, calculate the GCD of 135 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 110 = 1 remainder 25
2 110 ÷ 25 = 4 remainder 10
3 25 ÷ 10 = 2 remainder 5
4 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
186 and 10118786
91 and 35455
72 and 17912888
43 and 1908170
165 and 10116665

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