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Least Common Multiple (LCM) of 85 and 68

The least common multiple (LCM) of 85 and 68 is 340.

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 85 and 68?

First, calculate the GCD of 85 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 85 ÷ 68 = 1 remainder 17
2 68 ÷ 17 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 54594
181 and 274887
165 and 7612540
168 and 1613864
47 and 512397

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