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Least Common Multiple (LCM) of 69 and 68

The least common multiple (LCM) of 69 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 69 and 68?

First, calculate the GCD of 69 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 68 = 1 remainder 1
2 68 ÷ 1 = 68 remainder 0

Examples of LCM Calculations

NumbersLCM
21 and 1603360
38 and 532014
113 and 869718
182 and 130910
86 and 1667138

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