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Least Common Multiple (LCM) of 112 and 189

The least common multiple (LCM) of 112 and 189 is 3024.

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 112 and 189?

First, calculate the GCD of 112 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 112 ÷ 189 = 0 remainder 112
2 189 ÷ 112 = 1 remainder 77
3 112 ÷ 77 = 1 remainder 35
4 77 ÷ 35 = 2 remainder 7
5 35 ÷ 7 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 1888648
37 and 1876919
105 and 434515
164 and 1285248
147 and 9513965

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