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Least Common Multiple (LCM) of 67 and 182

The least common multiple (LCM) of 67 and 182 is 12194.

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 67 and 182?

First, calculate the GCD of 67 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 182 = 0 remainder 67
2 182 ÷ 67 = 2 remainder 48
3 67 ÷ 48 = 1 remainder 19
4 48 ÷ 19 = 2 remainder 10
5 19 ÷ 10 = 1 remainder 9
6 10 ÷ 9 = 1 remainder 1
7 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
148 and 10916132
53 and 1226466
58 and 573306
141 and 7310293
37 and 1264662

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