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Least Common Multiple (LCM) of 18 and 93

The least common multiple (LCM) of 18 and 93 is 558.

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 18 and 93?

First, calculate the GCD of 18 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 93 = 0 remainder 18
2 93 ÷ 18 = 5 remainder 3
3 18 ÷ 3 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 9711640
172 and 1606880
199 and 19138009
185 and 10218870
154 and 6710318

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