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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
119 and 11713923
133 and 19133
186 and 141302
14 and 1921344
34 and 51102

Try Calculating LCM of Other Numbers







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