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Least Common Multiple (LCM) of 143 and 60

The least common multiple (LCM) of 143 and 60 is 8580.

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 60?

First, calculate the GCD of 143 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 143 ÷ 60 = 2 remainder 23
2 60 ÷ 23 = 2 remainder 14
3 23 ÷ 14 = 1 remainder 9
4 14 ÷ 9 = 1 remainder 5
5 9 ÷ 5 = 1 remainder 4
6 5 ÷ 4 = 1 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 326048
150 and 180900
32 and 15480
65 and 52260
47 and 1768272

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