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Least Common Multiple (LCM) of 47 and 144

The least common multiple (LCM) of 47 and 144 is 6768.

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 47 and 144?

First, calculate the GCD of 47 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 144 = 0 remainder 47
2 144 ÷ 47 = 3 remainder 3
3 47 ÷ 3 = 15 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 842100
129 and 12716383
23 and 811863
153 and 8312699
12 and 86516

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