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Least Common Multiple (LCM) of 174 and 56

The least common multiple (LCM) of 174 and 56 is 4872.

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 174 and 56?

First, calculate the GCD of 174 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 56 = 3 remainder 6
2 56 ÷ 6 = 9 remainder 2
3 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 151140
66 and 533498
80 and 1963920
113 and 13114803
196 and 42588

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