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Least Common Multiple (LCM) of 54 and 99

The least common multiple (LCM) of 54 and 99 is 594.

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 54 and 99?

First, calculate the GCD of 54 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 99 = 0 remainder 54
2 99 ÷ 54 = 1 remainder 45
3 54 ÷ 45 = 1 remainder 9
4 45 ÷ 9 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 120240
92 and 1202760
165 and 771155
170 and 1169860
46 and 621426

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