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Least Common Multiple (LCM) of 193 and 49

The least common multiple (LCM) of 193 and 49 is 9457.

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 193 and 49?

First, calculate the GCD of 193 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 49 = 3 remainder 46
2 49 ÷ 46 = 1 remainder 3
3 46 ÷ 3 = 15 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
61 and 1197259
32 and 901440
30 and 99990
181 and 17231132
31 and 993069

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