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Least Common Multiple (LCM) of 144 and 116

The least common multiple (LCM) of 144 and 116 is 4176.

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 144 and 116?

First, calculate the GCD of 144 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 144 ÷ 116 = 1 remainder 28
2 116 ÷ 28 = 4 remainder 4
3 28 ÷ 4 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 19113752
154 and 201540
46 and 1804140
167 and 15025050
132 and 1066996

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