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Least Common Multiple (LCM) of 112 and 37

The least common multiple (LCM) of 112 and 37 is 4144.

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 37?

First, calculate the GCD of 112 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 112 ÷ 37 = 3 remainder 1
2 37 ÷ 1 = 37 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 16724549
134 and 1208040
176 and 15527280
150 and 443300
179 and 11921301

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