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Least Common Multiple (LCM) of 59 and 90

The least common multiple (LCM) of 59 and 90 is 5310.

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 59 and 90?

First, calculate the GCD of 59 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 90 = 0 remainder 59
2 90 ÷ 59 = 1 remainder 31
3 59 ÷ 31 = 1 remainder 28
4 31 ÷ 28 = 1 remainder 3
5 28 ÷ 3 = 9 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 1076634
17 and 1182006
62 and 882728
99 and 1871683
119 and 556545

Try Calculating LCM of Other Numbers







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