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Least Common Multiple (LCM) of 18 and 154

The least common multiple (LCM) of 18 and 154 is 1386.

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 154?

First, calculate the GCD of 18 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 154 = 0 remainder 18
2 154 ÷ 18 = 8 remainder 10
3 18 ÷ 10 = 1 remainder 8
4 10 ÷ 8 = 1 remainder 2
5 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 201740
66 and 1003300
13 and 59767
112 and 12714224
76 and 1122128

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