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Least Common Multiple (LCM) of 55 and 116

The least common multiple (LCM) of 55 and 116 is 6380.

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 55 and 116?

First, calculate the GCD of 55 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 55 ÷ 116 = 0 remainder 55
2 116 ÷ 55 = 2 remainder 6
3 55 ÷ 6 = 9 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 291711
126 and 18122806
28 and 38532
137 and 15921783
156 and 211092

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