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Least Common Multiple (LCM) of 199 and 53

The least common multiple (LCM) of 199 and 53 is 10547.

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 199 and 53?

First, calculate the GCD of 199 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 199 ÷ 53 = 3 remainder 40
2 53 ÷ 40 = 1 remainder 13
3 40 ÷ 13 = 3 remainder 1
4 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
77 and 17313321
96 and 221056
93 and 706510
36 and 171684
105 and 1414935

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