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Least Common Multiple (LCM) of 143 and 59

The least common multiple (LCM) of 143 and 59 is 8437.

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 143 and 59?

First, calculate the GCD of 143 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 143 ÷ 59 = 2 remainder 25
2 59 ÷ 25 = 2 remainder 9
3 25 ÷ 9 = 2 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 18613578
37 and 1304810
27 and 1844968
138 and 14520010
92 and 9292

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