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Least Common Multiple (LCM) of 171 and 145

The least common multiple (LCM) of 171 and 145 is 24795.

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 171 and 145?

First, calculate the GCD of 171 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 145 = 1 remainder 26
2 145 ÷ 26 = 5 remainder 15
3 26 ÷ 15 = 1 remainder 11
4 15 ÷ 11 = 1 remainder 4
5 11 ÷ 4 = 2 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 178890
30 and 64960
20 and 1833660
35 and 1946790
112 and 771232

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