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Least Common Multiple (LCM) of 142 and 80

The least common multiple (LCM) of 142 and 80 is 5680.

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 142 and 80?

First, calculate the GCD of 142 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 80 = 1 remainder 62
2 80 ÷ 62 = 1 remainder 18
3 62 ÷ 18 = 3 remainder 8
4 18 ÷ 8 = 2 remainder 2
5 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
67 and 1429514
135 and 16121735
168 and 573192
110 and 422310
125 and 8210250

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