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Least Common Multiple (LCM) of 135 and 93

The least common multiple (LCM) of 135 and 93 is 4185.

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 93?

First, calculate the GCD of 135 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 93 = 1 remainder 42
2 93 ÷ 42 = 2 remainder 9
3 42 ÷ 9 = 4 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 14816132
17 and 1472499
85 and 816885
107 and 17919153
157 and 16225434

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