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Least Common Multiple (LCM) of 23 and 80

The least common multiple (LCM) of 23 and 80 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 23 and 80?

First, calculate the GCD of 23 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 23 ÷ 80 = 0 remainder 23
2 80 ÷ 23 = 3 remainder 11
3 23 ÷ 11 = 2 remainder 1
4 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
58 and 145290
160 and 522080
145 and 8211890
176 and 1601760
149 and 10615794

Try Calculating LCM of Other Numbers







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