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Least Common Multiple (LCM) of 168 and 182

The least common multiple (LCM) of 168 and 182 is 2184.

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 168 and 182?

First, calculate the GCD of 168 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 182 = 0 remainder 168
2 182 ÷ 168 = 1 remainder 14
3 168 ÷ 14 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 9518430
142 and 618662
108 and 19921492
153 and 45765
87 and 201740

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