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Least Common Multiple (LCM) of 168 and 29

The least common multiple (LCM) of 168 and 29 is 4872.

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 29?

First, calculate the GCD of 168 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 29 = 5 remainder 23
2 29 ÷ 23 = 1 remainder 6
3 23 ÷ 6 = 3 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
84 and 881848
61 and 553355
198 and 211386
166 and 18215106
106 and 111166

Try Calculating LCM of Other Numbers







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