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Least Common Multiple (LCM) of 135 and 102

The least common multiple (LCM) of 135 and 102 is 4590.

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 102?

First, calculate the GCD of 135 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 102 = 1 remainder 33
2 102 ÷ 33 = 3 remainder 3
3 33 ÷ 3 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
116 and 252900
186 and 7113206
90 and 24360
91 and 841092
21 and 881848

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