Least Common Multiple of 4199 and 4207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4199 and 4207 the smallest integer that is 17665193 that is divisible by both numbers.

Least Common Multiple (LCM) of 4199 and 4207 is 17665193.

LCM(4199,4207) = 17665193

LCM of 4199 and 4207

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

LCM of:
and

Least Common Multiple of 4199 and 4207

LCM of 4199 and 4207 is 17665193

Least common multiple can be found by multiplying the highest exponent prime factors of 4199 and 4207. First we will calculate the prime factors of 4199 and 4207.

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

Prime Factorization of 4207


7 4207
601 601
1

Prime factors of 4207 are 7,601. Prime factorization of 4207 in exponential form is:

4207 = 71×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 4199 and 4207.

LCM(4199,4207) = 71×131×171×191×6011
LCM(4199,4207) = 17665193

Factors of 4199

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

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

Factors of 4207

List of positive integer factors of 4207 that divides 4207 without a remainder.

1, 7, 601, 4207

Least Common Multiple of 4199 and 4207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4199 and 4207, than apply into the LCM equation.

GCF(4199,4207) = 1
LCM(4199,4207) = ( 4199 × 4207) / 1
LCM(4199,4207) = 17665193 / 1
LCM(4199,4207) = 17665193

Properties of LCM 4199 and 4207

(i) The LCM of 4207 and 4199 is associative

LCM of 4199 and 4207 = LCM of 4207 and 4199

Frequently Asked Questions on LCM of 4199 and 4207

1. What is the LCM of 4199 and 4207?

Answer: LCM of 4199 and 4207 is 17665193.

2. 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.

3. What are the Factors of 4207?

Answer: Factors of 4207 are 1, 7, 601, 4207. There are 4 integers that are factors of 4207. The greatest factor of 4207 is 4207.

4. How to Find the LCM of 4199 and 4207?

Answer:

Least Common Multiple of 4199 and 4207 = 17665193

Step 1: Find the prime factorization of 4199

4199 = 13 x 17 x 19

Step 2: Find the prime factorization of 4207

4207 = 7 x 601

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

LCM = 17665193 = 7 x 13 x 17 x 19 x 601

Step 4: Therefore, the least common multiple of 4199 and 4207 is 17665193.