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Least Common Multiple (LCM) of 143 and 180

The least common multiple (LCM) of 143 and 180 is 25740.

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 180?

First, calculate the GCD of 143 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 143 ÷ 180 = 0 remainder 143
2 180 ÷ 143 = 1 remainder 37
3 143 ÷ 37 = 3 remainder 32
4 37 ÷ 32 = 1 remainder 5
5 32 ÷ 5 = 6 remainder 2
6 5 ÷ 2 = 2 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 14122983
184 and 12611592
198 and 132574
197 and 17935263
64 and 862752

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