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Least Common Multiple (LCM) of 169 and 111

The least common multiple (LCM) of 169 and 111 is 18759.

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 169 and 111?

First, calculate the GCD of 169 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 111 = 1 remainder 58
2 111 ÷ 58 = 1 remainder 53
3 58 ÷ 53 = 1 remainder 5
4 53 ÷ 5 = 10 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
25 and 14350
13 and 25325
132 and 24264
121 and 14117061
82 and 171394

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