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Least Common Multiple (LCM) of 90 and 78

The least common multiple (LCM) of 90 and 78 is 1170.

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 90 and 78?

First, calculate the GCD of 90 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 90 ÷ 78 = 1 remainder 12
2 78 ÷ 12 = 6 remainder 6
3 12 ÷ 6 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 15425102
187 and 315797
137 and 152055
22 and 1072354
24 and 1192856

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