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Least Common Multiple (LCM) of 58 and 159

The least common multiple (LCM) of 58 and 159 is 9222.

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 58 and 159?

First, calculate the GCD of 58 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 159 = 0 remainder 58
2 159 ÷ 58 = 2 remainder 43
3 58 ÷ 43 = 1 remainder 15
4 43 ÷ 15 = 2 remainder 13
5 15 ÷ 13 = 1 remainder 2
6 13 ÷ 2 = 6 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 1619499
18 and 771386
95 and 847980
179 and 111969
123 and 8610578

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