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Least Common Multiple (LCM) of 56 and 90

The least common multiple (LCM) of 56 and 90 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 56 and 90?

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

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 90 = 0 remainder 56
2 90 ÷ 56 = 1 remainder 34
3 56 ÷ 34 = 1 remainder 22
4 34 ÷ 22 = 1 remainder 12
5 22 ÷ 12 = 1 remainder 10
6 12 ÷ 10 = 1 remainder 2
7 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 391911
104 and 91728
59 and 1669794
178 and 19735066
63 and 1112331

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