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Least Common Multiple (LCM) of 186 and 144

The least common multiple (LCM) of 186 and 144 is 4464.

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 186 and 144?

First, calculate the GCD of 186 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 144 = 1 remainder 42
2 144 ÷ 42 = 3 remainder 18
3 42 ÷ 18 = 2 remainder 6
4 18 ÷ 6 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 233381
93 and 722232
199 and 11222288
72 and 132792
126 and 18723562

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