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Least Common Multiple (LCM) of 90 and 31

The least common multiple (LCM) of 90 and 31 is 2790.

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 31?

First, calculate the GCD of 90 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 90 ÷ 31 = 2 remainder 28
2 31 ÷ 28 = 1 remainder 3
3 28 ÷ 3 = 9 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 552145
193 and 13325669
166 and 16413612
54 and 882376
23 and 1944462

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