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Least Common Multiple (LCM) of 55 and 109

The least common multiple (LCM) of 55 and 109 is 5995.

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 109?

First, calculate the GCD of 55 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 55 ÷ 109 = 0 remainder 55
2 109 ÷ 55 = 1 remainder 54
3 55 ÷ 54 = 1 remainder 1
4 54 ÷ 1 = 54 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 965856
101 and 15815958
158 and 17928282
50 and 90450
99 and 12812672

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