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Least Common Multiple (LCM) of 85 and 142

The least common multiple (LCM) of 85 and 142 is 12070.

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 85 and 142?

First, calculate the GCD of 85 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 85 ÷ 142 = 0 remainder 85
2 142 ÷ 85 = 1 remainder 57
3 85 ÷ 57 = 1 remainder 28
4 57 ÷ 28 = 2 remainder 1
5 28 ÷ 1 = 28 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 902070
49 and 1889212
87 and 12210614
53 and 1055565
200 and 25200

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