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Least Common Multiple (LCM) of 143 and 159

The least common multiple (LCM) of 143 and 159 is 22737.

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 159?

First, calculate the GCD of 143 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 143 ÷ 159 = 0 remainder 143
2 159 ÷ 143 = 1 remainder 16
3 143 ÷ 16 = 8 remainder 15
4 16 ÷ 15 = 1 remainder 1
5 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 231656
59 and 704130
66 and 1413102
162 and 12810368
16 and 931488

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