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Least Common Multiple (LCM) of 138 and 68

The least common multiple (LCM) of 138 and 68 is 4692.

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 138 and 68?

First, calculate the GCD of 138 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 138 ÷ 68 = 2 remainder 2
2 68 ÷ 2 = 34 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 12320910
151 and 8913439
174 and 443828
193 and 16331459
34 and 187374

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