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Least Common Multiple (LCM) of 18 and 155

The least common multiple (LCM) of 18 and 155 is 2790.

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 155?

First, calculate the GCD of 18 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 155 = 0 remainder 18
2 155 ÷ 18 = 8 remainder 11
3 18 ÷ 11 = 1 remainder 7
4 11 ÷ 7 = 1 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 1184248
103 and 14815244
27 and 24216
188 and 383572
105 and 140420

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