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Least Common Multiple (LCM) of 47 and 171

The least common multiple (LCM) of 47 and 171 is 8037.

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 47 and 171?

First, calculate the GCD of 47 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 171 = 0 remainder 47
2 171 ÷ 47 = 3 remainder 30
3 47 ÷ 30 = 1 remainder 17
4 30 ÷ 17 = 1 remainder 13
5 17 ÷ 13 = 1 remainder 4
6 13 ÷ 4 = 3 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
98 and 959310
68 and 18512580
145 and 19428130
105 and 1191785
184 and 7113064

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