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Least Common Multiple (LCM) of 157 and 135

The least common multiple (LCM) of 157 and 135 is 21195.

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 157 and 135?

First, calculate the GCD of 157 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 157 ÷ 135 = 1 remainder 22
2 135 ÷ 22 = 6 remainder 3
3 22 ÷ 3 = 7 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
154 and 15612012
132 and 176528
75 and 781950
107 and 17318511
90 and 1366120

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