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Least Common Multiple (LCM) of 186 and 112

The least common multiple (LCM) of 186 and 112 is 10416.

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 186 and 112?

First, calculate the GCD of 186 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 112 = 1 remainder 74
2 112 ÷ 74 = 1 remainder 38
3 74 ÷ 38 = 1 remainder 36
4 38 ÷ 36 = 1 remainder 2
5 36 ÷ 2 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 70210
160 and 16326080
54 and 1483996
156 and 1201560
173 and 417093

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