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Least Common Multiple (LCM) of 62 and 135

The least common multiple (LCM) of 62 and 135 is 8370.

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 135?

First, calculate the GCD of 62 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 62 ÷ 135 = 0 remainder 62
2 135 ÷ 62 = 2 remainder 11
3 62 ÷ 11 = 5 remainder 7
4 11 ÷ 7 = 1 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
102 and 48816
65 and 775005
102 and 462346
101 and 434343
169 and 18330927

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