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Least Common Multiple (LCM) of 11 and 54

The least common multiple (LCM) of 11 and 54 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 11 and 54?

First, calculate the GCD of 11 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 54 = 0 remainder 11
2 54 ÷ 11 = 4 remainder 10
3 11 ÷ 10 = 1 remainder 1
4 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 1968036
113 and 14916837
30 and 1891890
132 and 1645412
49 and 1738477

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