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Least Common Multiple (LCM) of 80 and 147

The least common multiple (LCM) of 80 and 147 is 11760.

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 80 and 147?

First, calculate the GCD of 80 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 147 = 0 remainder 80
2 147 ÷ 80 = 1 remainder 67
3 80 ÷ 67 = 1 remainder 13
4 67 ÷ 13 = 5 remainder 2
5 13 ÷ 2 = 6 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
139 and 17924881
159 and 19130369
184 and 17131464
54 and 774158
109 and 919919

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