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Least Common Multiple (LCM) of 141 and 17

The least common multiple (LCM) of 141 and 17 is 2397.

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 141 and 17?

First, calculate the GCD of 141 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 141 ÷ 17 = 8 remainder 5
2 17 ÷ 5 = 3 remainder 2
3 5 ÷ 2 = 2 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 1283968
191 and 8215662
43 and 1867998
134 and 13117554
172 and 1968428

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