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Least Common Multiple (LCM) of 19 and 47

The least common multiple (LCM) of 19 and 47 is 893.

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 19 and 47?

First, calculate the GCD of 19 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 19 ÷ 47 = 0 remainder 19
2 47 ÷ 19 = 2 remainder 9
3 19 ÷ 9 = 2 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 18419688
174 and 782262
135 and 1442160
190 and 464370
84 and 911092

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