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Least Common Multiple (LCM) of 111 and 188

The least common multiple (LCM) of 111 and 188 is 20868.

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 188?

First, calculate the GCD of 111 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 111 ÷ 188 = 0 remainder 111
2 188 ÷ 111 = 1 remainder 77
3 111 ÷ 77 = 1 remainder 34
4 77 ÷ 34 = 2 remainder 9
5 34 ÷ 9 = 3 remainder 7
6 9 ÷ 7 = 1 remainder 2
7 7 ÷ 2 = 3 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 509850
30 and 198990
178 and 403560
102 and 381938
146 and 253650

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