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Least Common Multiple (LCM) of 167 and 17

The least common multiple (LCM) of 167 and 17 is 2839.

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 167 and 17?

First, calculate the GCD of 167 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 167 ÷ 17 = 9 remainder 14
2 17 ÷ 14 = 1 remainder 3
3 14 ÷ 3 = 4 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 142478
55 and 1367480
45 and 871305
41 and 662706
59 and 19111269

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