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Least Common Multiple (LCM) of 55 and 99

The least common multiple (LCM) of 55 and 99 is 495.

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 99?

First, calculate the GCD of 55 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 55 ÷ 99 = 0 remainder 55
2 99 ÷ 55 = 1 remainder 44
3 55 ÷ 44 = 1 remainder 11
4 44 ÷ 11 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
114 and 15570
182 and 15127482
142 and 11916898
46 and 1034738
167 and 7212024

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