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Least Common Multiple (LCM) of 47 and 49

The least common multiple (LCM) of 47 and 49 is 2303.

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 49?

First, calculate the GCD of 47 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 49 = 0 remainder 47
2 49 ÷ 47 = 1 remainder 2
3 47 ÷ 2 = 23 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 1191904
143 and 18826884
153 and 16925857
35 and 3535
51 and 13663

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