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Least Common Multiple (LCM) of 56 and 182

The least common multiple (LCM) of 56 and 182 is 728.

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 56 and 182?

First, calculate the GCD of 56 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 182 = 0 remainder 56
2 182 ÷ 56 = 3 remainder 14
3 56 ÷ 14 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
92 and 743404
90 and 823690
180 and 585220
27 and 153459
104 and 40520

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