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Least Common Multiple (LCM) of 62 and 143

The least common multiple (LCM) of 62 and 143 is 8866.

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 62 and 143?

First, calculate the GCD of 62 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 62 ÷ 143 = 0 remainder 62
2 143 ÷ 62 = 2 remainder 19
3 62 ÷ 19 = 3 remainder 5
4 19 ÷ 5 = 3 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 19421534
157 and 243768
70 and 392730
64 and 144576
108 and 1776372

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