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Least Common Multiple (LCM) of 90 and 39

The least common multiple (LCM) of 90 and 39 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 39?

First, calculate the GCD of 90 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 90 ÷ 39 = 2 remainder 12
2 39 ÷ 12 = 3 remainder 3
3 12 ÷ 3 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 19124066
19 and 1783382
146 and 13519710
102 and 1527752
17 and 37629

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