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Least Common Multiple (LCM) of 107 and 32

The least common multiple (LCM) of 107 and 32 is 3424.

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 107 and 32?

First, calculate the GCD of 107 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 107 ÷ 32 = 3 remainder 11
2 32 ÷ 11 = 2 remainder 10
3 11 ÷ 10 = 1 remainder 1
4 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 171684
51 and 562856
100 and 232300
71 and 17712567
56 and 693864

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