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Least Common Multiple (LCM) of 168 and 89

The least common multiple (LCM) of 168 and 89 is 14952.

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 89?

First, calculate the GCD of 168 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 89 = 1 remainder 79
2 89 ÷ 79 = 1 remainder 10
3 79 ÷ 10 = 7 remainder 9
4 10 ÷ 9 = 1 remainder 1
5 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 1555270
36 and 1832196
142 and 261846
172 and 584988
74 and 12444

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