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Least Common Multiple (LCM) of 111 and 155

The least common multiple (LCM) of 111 and 155 is 17205.

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 111 and 155?

First, calculate the GCD of 111 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 111 ÷ 155 = 0 remainder 111
2 155 ÷ 111 = 1 remainder 44
3 111 ÷ 44 = 2 remainder 23
4 44 ÷ 23 = 1 remainder 21
5 23 ÷ 21 = 1 remainder 2
6 21 ÷ 2 = 10 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 20026600
197 and 16131717
143 and 12517875
37 and 1987326
25 and 1082700

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