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Least Common Multiple (LCM) of 112 and 32

The least common multiple (LCM) of 112 and 32 is 224.

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 32?

First, calculate the GCD of 112 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 112 ÷ 32 = 3 remainder 16
2 32 ÷ 16 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
153 and 192907
174 and 58174
157 and 132041
123 and 293567
111 and 16718537

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