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Least Common Multiple (LCM) of 80 and 46

The least common multiple (LCM) of 80 and 46 is 1840.

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 46?

First, calculate the GCD of 80 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 46 = 1 remainder 34
2 46 ÷ 34 = 1 remainder 12
3 34 ÷ 12 = 2 remainder 10
4 12 ÷ 10 = 1 remainder 2
5 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 23299
30 and 3030
149 and 13419966
114 and 839462
11 and 1922112

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