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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
173 and 12221106
165 and 1153795
102 and 872958
83 and 18815604
140 and 699660

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