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Least Common Multiple (LCM) of 168 and 113

The least common multiple (LCM) of 168 and 113 is 18984.

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 113?

First, calculate the GCD of 168 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 113 = 1 remainder 55
2 113 ÷ 55 = 2 remainder 3
3 55 ÷ 3 = 18 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 10519635
112 and 535936
143 and 628866
79 and 15412166
131 and 10313493

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