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Least Common Multiple (LCM) of 144 and 10

The least common multiple (LCM) of 144 and 10 is 720.

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 10?

First, calculate the GCD of 144 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 144 ÷ 10 = 14 remainder 4
2 10 ÷ 4 = 2 remainder 2
3 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
186 and 11922134
192 and 14213632
118 and 442596
135 and 10614310
110 and 414510

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