Least Common Multiple of 4196 and 4199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4196 and 4199 the smallest integer that is 17619004 that is divisible by both numbers.

Least Common Multiple (LCM) of 4196 and 4199 is 17619004.

LCM(4196,4199) = 17619004

LCM of 4196 and 4199

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4196 and 4199

LCM of 4196 and 4199 is 17619004

Least common multiple can be found by multiplying the highest exponent prime factors of 4196 and 4199. First we will calculate the prime factors of 4196 and 4199.

Prime Factorization of 4196


2 4196
2 2098
1049 1049
1

Prime factors of 4196 are 2,1049. Prime factorization of 4196 in exponential form is:

4196 = 22×10491

Prime Factorization of 4199


13 4199
17 323
19 19
1

Prime factors of 4199 are 13, 17,19. Prime factorization of 4199 in exponential form is:

4199 = 131×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4196 and 4199.

LCM(4196,4199) = 22×131×171×191×10491
LCM(4196,4199) = 17619004

Factors of 4196

List of positive integer factors of 4196 that divides 4196 without a remainder.

1, 2, 4, 1049, 2098, 4196

Factors of 4199

List of positive integer factors of 4199 that divides 4199 without a remainder.

1, 13, 17, 19, 221, 247, 323, 4199

Least Common Multiple of 4196 and 4199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4196 and 4199, than apply into the LCM equation.

GCF(4196,4199) = 1
LCM(4196,4199) = ( 4196 × 4199) / 1
LCM(4196,4199) = 17619004 / 1
LCM(4196,4199) = 17619004

Properties of LCM 4196 and 4199

(i) The LCM of 4199 and 4196 is associative

LCM of 4196 and 4199 = LCM of 4199 and 4196

Related Least Common Multiples of 4196

Related Least Common Multiples of 4199

Frequently Asked Questions on LCM of 4196 and 4199

1. What is the LCM of 4196 and 4199?

Answer: LCM of 4196 and 4199 is 17619004.

2. What are the Factors of 4196?

Answer: Factors of 4196 are 1, 2, 4, 1049, 2098, 4196. There are 6 integers that are factors of 4196. The greatest factor of 4196 is 4196.

3. What are the Factors of 4199?

Answer: Factors of 4199 are 1, 13, 17, 19, 221, 247, 323, 4199. There are 8 integers that are factors of 4199. The greatest factor of 4199 is 4199.

4. How to Find the LCM of 4196 and 4199?

Answer:

Least Common Multiple of 4196 and 4199 = 17619004

Step 1: Find the prime factorization of 4196

4196 = 2 x 2 x 1049

Step 2: Find the prime factorization of 4199

4199 = 13 x 17 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 17619004 = 2 x 2 x 13 x 17 x 19 x 1049

Step 4: Therefore, the least common multiple of 4196 and 4199 is 17619004.