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Least Common Multiple (LCM) of 113 and 182

The least common multiple (LCM) of 113 and 182 is 20566.

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 113 and 182?

First, calculate the GCD of 113 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 113 ÷ 182 = 0 remainder 113
2 182 ÷ 113 = 1 remainder 69
3 113 ÷ 69 = 1 remainder 44
4 69 ÷ 44 = 1 remainder 25
5 44 ÷ 25 = 1 remainder 19
6 25 ÷ 19 = 1 remainder 6
7 19 ÷ 6 = 3 remainder 1
8 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 12411780
155 and 1053255
178 and 17731506
42 and 1783738
185 and 148740

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