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Least Common Multiple (LCM) of 12 and 85

The least common multiple (LCM) of 12 and 85 is 1020.

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 12 and 85?

First, calculate the GCD of 12 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 12 ÷ 85 = 0 remainder 12
2 85 ÷ 12 = 7 remainder 1
3 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 1481924
124 and 481488
188 and 11120868
125 and 451125
83 and 1038549

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