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Least Common Multiple (LCM) of 144 and 91

The least common multiple (LCM) of 144 and 91 is 13104.

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 144 and 91?

First, calculate the GCD of 144 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 144 ÷ 91 = 1 remainder 53
2 91 ÷ 53 = 1 remainder 38
3 53 ÷ 38 = 1 remainder 15
4 38 ÷ 15 = 2 remainder 8
5 15 ÷ 8 = 1 remainder 7
6 8 ÷ 7 = 1 remainder 1
7 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 1708840
105 and 373885
162 and 645184
176 and 1069328
169 and 7412506

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