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Least Common Multiple (LCM) of 32 and 191

The least common multiple (LCM) of 32 and 191 is 6112.

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 32 and 191?

First, calculate the GCD of 32 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 32 ÷ 191 = 0 remainder 32
2 191 ÷ 32 = 5 remainder 31
3 32 ÷ 31 = 1 remainder 1
4 31 ÷ 1 = 31 remainder 0

Examples of LCM Calculations

NumbersLCM
11 and 10110
71 and 1208520
46 and 552530
145 and 375365
152 and 19152

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