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Least Common Multiple (LCM) of 178 and 24

The least common multiple (LCM) of 178 and 24 is 2136.

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 178 and 24?

First, calculate the GCD of 178 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 24 = 7 remainder 10
2 24 ÷ 10 = 2 remainder 4
3 10 ÷ 4 = 2 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 1296321
68 and 1768
184 and 7313432
139 and 18725993
45 and 1978865

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