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Least Common Multiple (LCM) of 62 and 116

The least common multiple (LCM) of 62 and 116 is 3596.

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 116?

First, calculate the GCD of 62 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 62 ÷ 116 = 0 remainder 62
2 116 ÷ 62 = 1 remainder 54
3 62 ÷ 54 = 1 remainder 8
4 54 ÷ 8 = 6 remainder 6
5 8 ÷ 6 = 1 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 263874
129 and 658385
10 and 9090
30 and 105210
60 and 631260

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