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Least Common Multiple (LCM) of 115 and 18

The least common multiple (LCM) of 115 and 18 is 2070.

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 115 and 18?

First, calculate the GCD of 115 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 18 = 6 remainder 7
2 18 ÷ 7 = 2 remainder 4
3 7 ÷ 4 = 1 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 737300
120 and 1983960
139 and 365004
151 and 19729747
152 and 1331064

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