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Least Common Multiple (LCM) of 48 and 144

The least common multiple (LCM) of 48 and 144 is 144.

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 48 and 144?

First, calculate the GCD of 48 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 48 ÷ 144 = 0 remainder 48
2 144 ÷ 48 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 661782
34 and 1916494
158 and 8513430
123 and 18823124
180 and 40360

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