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Least Common Multiple (LCM) of 85 and 144

The least common multiple (LCM) of 85 and 144 is 12240.

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 144?

First, calculate the GCD of 85 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 85 ÷ 144 = 0 remainder 85
2 144 ÷ 85 = 1 remainder 59
3 85 ÷ 59 = 1 remainder 26
4 59 ÷ 26 = 2 remainder 7
5 26 ÷ 7 = 3 remainder 5
6 7 ÷ 5 = 1 remainder 2
7 5 ÷ 2 = 2 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
47 and 894183
67 and 463082
16 and 82656
80 and 1563120
127 and 15119177

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