Least Common Multiple of 4249 and 4251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4249 and 4251 the smallest integer that is 18062499 that is divisible by both numbers.

Least Common Multiple (LCM) of 4249 and 4251 is 18062499.

LCM(4249,4251) = 18062499

LCM of 4249 and 4251

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

LCM of:
and

Least Common Multiple of 4249 and 4251

LCM of 4249 and 4251 is 18062499

Least common multiple can be found by multiplying the highest exponent prime factors of 4249 and 4251. First we will calculate the prime factors of 4249 and 4251.

Prime Factorization of 4249


7 4249
607 607
1

Prime factors of 4249 are 7,607. Prime factorization of 4249 in exponential form is:

4249 = 71×6071

Prime Factorization of 4251


3 4251
13 1417
109 109
1

Prime factors of 4251 are 3, 13,109. Prime factorization of 4251 in exponential form is:

4251 = 31×131×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4249 and 4251.

LCM(4249,4251) = 31×71×131×1091×6071
LCM(4249,4251) = 18062499

Factors of 4249

List of positive integer factors of 4249 that divides 4249 without a remainder.

1, 7, 607, 4249

Factors of 4251

List of positive integer factors of 4251 that divides 4251 without a remainder.

1, 3, 13, 39, 109, 327, 1417, 4251

Least Common Multiple of 4249 and 4251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4249 and 4251, than apply into the LCM equation.

GCF(4249,4251) = 1
LCM(4249,4251) = ( 4249 × 4251) / 1
LCM(4249,4251) = 18062499 / 1
LCM(4249,4251) = 18062499

Properties of LCM 4249 and 4251

(i) The LCM of 4251 and 4249 is associative

LCM of 4249 and 4251 = LCM of 4251 and 4249

Related Least Common Multiples of 4249

Related Least Common Multiples of 4251

Frequently Asked Questions on LCM of 4249 and 4251

1. What is the LCM of 4249 and 4251?

Answer: LCM of 4249 and 4251 is 18062499.

2. What are the Factors of 4249?

Answer: Factors of 4249 are 1, 7, 607, 4249. There are 4 integers that are factors of 4249. The greatest factor of 4249 is 4249.

3. What are the Factors of 4251?

Answer: Factors of 4251 are 1, 3, 13, 39, 109, 327, 1417, 4251. There are 8 integers that are factors of 4251. The greatest factor of 4251 is 4251.

4. How to Find the LCM of 4249 and 4251?

Answer:

Least Common Multiple of 4249 and 4251 = 18062499

Step 1: Find the prime factorization of 4249

4249 = 7 x 607

Step 2: Find the prime factorization of 4251

4251 = 3 x 13 x 109

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

LCM = 18062499 = 3 x 7 x 13 x 109 x 607

Step 4: Therefore, the least common multiple of 4249 and 4251 is 18062499.