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Least Common Multiple (LCM) of 189 and 71

The least common multiple (LCM) of 189 and 71 is 13419.

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 189 and 71?

First, calculate the GCD of 189 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 189 ÷ 71 = 2 remainder 47
2 71 ÷ 47 = 1 remainder 24
3 47 ÷ 24 = 1 remainder 23
4 24 ÷ 23 = 1 remainder 1
5 23 ÷ 1 = 23 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 607980
25 and 1333325
120 and 1842760
21 and 1573297
94 and 534982

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