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Least Common Multiple (LCM) of 49 and 199

The least common multiple (LCM) of 49 and 199 is 9751.

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 49 and 199?

First, calculate the GCD of 49 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 199 = 0 remainder 49
2 199 ÷ 49 = 4 remainder 3
3 49 ÷ 3 = 16 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 641728
190 and 1555890
192 and 112112
191 and 9217572
111 and 1716327

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