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Least Common Multiple (LCM) of 134 and 135

The least common multiple (LCM) of 134 and 135 is 18090.

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 134 and 135?

First, calculate the GCD of 134 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 135 = 0 remainder 134
2 135 ÷ 134 = 1 remainder 1
3 134 ÷ 1 = 134 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 827954
13 and 31403
108 and 313348
177 and 7112567
171 and 447524

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