Least Common Multiple of 4430 and 4437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4430 and 4437 the smallest integer that is 19655910 that is divisible by both numbers.

Least Common Multiple (LCM) of 4430 and 4437 is 19655910.

LCM(4430,4437) = 19655910

LCM of 4430 and 4437

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

LCM of:
and

Least Common Multiple of 4430 and 4437

LCM of 4430 and 4437 is 19655910

Least common multiple can be found by multiplying the highest exponent prime factors of 4430 and 4437. First we will calculate the prime factors of 4430 and 4437.

Prime Factorization of 4430


2 4430
5 2215
443 443
1

Prime factors of 4430 are 2, 5,443. Prime factorization of 4430 in exponential form is:

4430 = 21×51×4431

Prime Factorization of 4437


3 4437
3 1479
17 493
29 29
1

Prime factors of 4437 are 3, 17,29. Prime factorization of 4437 in exponential form is:

4437 = 32×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4430 and 4437.

LCM(4430,4437) = 21×32×51×171×291×4431
LCM(4430,4437) = 19655910

Factors of 4430

List of positive integer factors of 4430 that divides 4430 without a remainder.

1, 2, 5, 10, 443, 886, 2215, 4430

Factors of 4437

List of positive integer factors of 4437 that divides 4437 without a remainder.

1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437

Least Common Multiple of 4430 and 4437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4430 and 4437, than apply into the LCM equation.

GCF(4430,4437) = 1
LCM(4430,4437) = ( 4430 × 4437) / 1
LCM(4430,4437) = 19655910 / 1
LCM(4430,4437) = 19655910

Properties of LCM 4430 and 4437

(i) The LCM of 4437 and 4430 is associative

LCM of 4430 and 4437 = LCM of 4437 and 4430

Related Least Common Multiples of 4430

Related Least Common Multiples of 4437

Frequently Asked Questions on LCM of 4430 and 4437

1. What is the LCM of 4430 and 4437?

Answer: LCM of 4430 and 4437 is 19655910.

2. What are the Factors of 4430?

Answer: Factors of 4430 are 1, 2, 5, 10, 443, 886, 2215, 4430. There are 8 integers that are factors of 4430. The greatest factor of 4430 is 4430.

3. What are the Factors of 4437?

Answer: Factors of 4437 are 1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437. There are 12 integers that are factors of 4437. The greatest factor of 4437 is 4437.

4. How to Find the LCM of 4430 and 4437?

Answer:

Least Common Multiple of 4430 and 4437 = 19655910

Step 1: Find the prime factorization of 4430

4430 = 2 x 5 x 443

Step 2: Find the prime factorization of 4437

4437 = 3 x 3 x 17 x 29

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

LCM = 19655910 = 2 x 3 x 3 x 5 x 17 x 29 x 443

Step 4: Therefore, the least common multiple of 4430 and 4437 is 19655910.