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Least Common Multiple (LCM) of 68 and 134

The least common multiple (LCM) of 68 and 134 is 4556.

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 68 and 134?

First, calculate the GCD of 68 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 134 = 0 remainder 68
2 134 ÷ 68 = 1 remainder 66
3 68 ÷ 66 = 1 remainder 2
4 66 ÷ 2 = 33 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 8111097
21 and 22462
199 and 305970
89 and 393471
62 and 1063286

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