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Least Common Multiple (LCM) of 62 and 89

The least common multiple (LCM) of 62 and 89 is 5518.

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 62 and 89?

First, calculate the GCD of 62 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 62 ÷ 89 = 0 remainder 62
2 89 ÷ 62 = 1 remainder 27
3 62 ÷ 27 = 2 remainder 8
4 27 ÷ 8 = 3 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 17628336
161 and 9915939
148 and 1365032
152 and 9314136
135 and 739855

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