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Least Common Multiple (LCM) of 147 and 24

The least common multiple (LCM) of 147 and 24 is 1176.

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 147 and 24?

First, calculate the GCD of 147 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 24 = 6 remainder 3
2 24 ÷ 3 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 1306630
112 and 48336
129 and 627998
189 and 101890
44 and 1623564

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