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Least Common Multiple (LCM) of 97 and 199

The least common multiple (LCM) of 97 and 199 is 19303.

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 97 and 199?

First, calculate the GCD of 97 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 199 = 0 remainder 97
2 199 ÷ 97 = 2 remainder 5
3 97 ÷ 5 = 19 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
31 and 1925952
19 and 51969
143 and 253575
31 and 1384278
160 and 1726880

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