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Least Common Multiple (LCM) of 78 and 85

The least common multiple (LCM) of 78 and 85 is 6630.

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 78 and 85?

First, calculate the GCD of 78 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 78 ÷ 85 = 0 remainder 78
2 85 ÷ 78 = 1 remainder 7
3 78 ÷ 7 = 11 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
157 and 157157
149 and 426258
183 and 19936417
132 and 391716
190 and 282660

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