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Least Common Multiple (LCM) of 135 and 195

The least common multiple (LCM) of 135 and 195 is 1755.

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 195?

First, calculate the GCD of 135 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 195 = 0 remainder 135
2 195 ÷ 135 = 1 remainder 60
3 135 ÷ 60 = 2 remainder 15
4 60 ÷ 15 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
45 and 1064770
124 and 441364
160 and 96480
43 and 1667138
55 and 965280

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