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Least Common Multiple (LCM) of 143 and 36

The least common multiple (LCM) of 143 and 36 is 5148.

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 36?

First, calculate the GCD of 143 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 143 ÷ 36 = 3 remainder 35
2 36 ÷ 35 = 1 remainder 1
3 35 ÷ 1 = 35 remainder 0

Examples of LCM Calculations

NumbersLCM
28 and 1935404
26 and 981274
200 and 1455800
87 and 451305
93 and 232139

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