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Least Common Multiple (LCM) of 80 and 68

The least common multiple (LCM) of 80 and 68 is 1360.

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 68?

First, calculate the GCD of 80 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 68 = 1 remainder 12
2 68 ÷ 12 = 5 remainder 8
3 12 ÷ 8 = 1 remainder 4
4 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 1241612
83 and 18615438
110 and 1287040
159 and 1387314
71 and 16511715

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