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Least Common Multiple (LCM) of 47 and 190

The least common multiple (LCM) of 47 and 190 is 8930.

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 47 and 190?

First, calculate the GCD of 47 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 190 = 0 remainder 47
2 190 ÷ 47 = 4 remainder 2
3 47 ÷ 2 = 23 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 747770
58 and 822378
61 and 684148
64 and 1063392
94 and 1019494

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