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Least Common Multiple (LCM) of 90 and 56

The least common multiple (LCM) of 90 and 56 is 2520.

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 56?

First, calculate the GCD of 90 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 90 ÷ 56 = 1 remainder 34
2 56 ÷ 34 = 1 remainder 22
3 34 ÷ 22 = 1 remainder 12
4 22 ÷ 12 = 1 remainder 10
5 12 ÷ 10 = 1 remainder 2
6 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 18119910
175 and 100700
169 and 122028
170 and 17329410
31 and 772387

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