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Least Common Multiple (LCM) of 113 and 55

The least common multiple (LCM) of 113 and 55 is 6215.

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 113 and 55?

First, calculate the GCD of 113 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 55 = 2 remainder 3
2 55 ÷ 3 = 18 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
130 and 13918070
180 and 234140
101 and 13713837
19 and 14266
105 and 331155

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