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Least Common Multiple (LCM) of 80 and 105

The least common multiple (LCM) of 80 and 105 is 1680.

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 105?

First, calculate the GCD of 80 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 80 ÷ 105 = 0 remainder 80
2 105 ÷ 80 = 1 remainder 25
3 80 ÷ 25 = 3 remainder 5
4 25 ÷ 5 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
67 and 17311591
164 and 7912956
162 and 927452
79 and 1138927
55 and 412255

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