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Least Common Multiple (LCM) of 114 and 143

The least common multiple (LCM) of 114 and 143 is 16302.

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 114 and 143?

First, calculate the GCD of 114 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 114 ÷ 143 = 0 remainder 114
2 143 ÷ 114 = 1 remainder 29
3 114 ÷ 29 = 3 remainder 27
4 29 ÷ 27 = 1 remainder 2
5 27 ÷ 2 = 13 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 515559
128 and 1441152
152 and 172584
66 and 30330
169 and 17729913

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