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Least Common Multiple (LCM) of 171 and 24

The least common multiple (LCM) of 171 and 24 is 1368.

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 171 and 24?

First, calculate the GCD of 171 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 24 = 7 remainder 3
2 24 ÷ 3 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
144 and 11316272
154 and 84924
54 and 492646
30 and 1411410
179 and 10318437

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