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Least Common Multiple (LCM) of 84 and 143

The least common multiple (LCM) of 84 and 143 is 12012.

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 84 and 143?

First, calculate the GCD of 84 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 143 = 0 remainder 84
2 143 ÷ 84 = 1 remainder 59
3 84 ÷ 59 = 1 remainder 25
4 59 ÷ 25 = 2 remainder 9
5 25 ÷ 9 = 2 remainder 7
6 9 ÷ 7 = 1 remainder 2
7 7 ÷ 2 = 3 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
191 and 11421774
34 and 1013434
107 and 838881
152 and 1068056
74 and 473478

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