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Least Common Multiple (LCM) of 144 and 87

The least common multiple (LCM) of 144 and 87 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 87?

First, calculate the GCD of 144 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 144 ÷ 87 = 1 remainder 57
2 87 ÷ 57 = 1 remainder 30
3 57 ÷ 30 = 1 remainder 27
4 30 ÷ 27 = 1 remainder 3
5 27 ÷ 3 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
102 and 1983366
195 and 815265
46 and 1838418
151 and 11817818
37 and 1575809

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