Least Common Multiple of 4502 and 4509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4502 and 4509 the smallest integer that is 20299518 that is divisible by both numbers.

Least Common Multiple (LCM) of 4502 and 4509 is 20299518.

LCM(4502,4509) = 20299518

LCM of 4502 and 4509

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

LCM of:
and

Least Common Multiple of 4502 and 4509

LCM of 4502 and 4509 is 20299518

Least common multiple can be found by multiplying the highest exponent prime factors of 4502 and 4509. First we will calculate the prime factors of 4502 and 4509.

Prime Factorization of 4502


2 4502
2251 2251
1

Prime factors of 4502 are 2,2251. Prime factorization of 4502 in exponential form is:

4502 = 21×22511

Prime Factorization of 4509


3 4509
3 1503
3 501
167 167
1

Prime factors of 4509 are 3,167. Prime factorization of 4509 in exponential form is:

4509 = 33×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4502 and 4509.

LCM(4502,4509) = 21×33×1671×22511
LCM(4502,4509) = 20299518

Factors of 4502

List of positive integer factors of 4502 that divides 4502 without a remainder.

1, 2, 2251, 4502

Factors of 4509

List of positive integer factors of 4509 that divides 4509 without a remainder.

1, 3, 9, 27, 167, 501, 1503, 4509

Least Common Multiple of 4502 and 4509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4502 and 4509, than apply into the LCM equation.

GCF(4502,4509) = 1
LCM(4502,4509) = ( 4502 × 4509) / 1
LCM(4502,4509) = 20299518 / 1
LCM(4502,4509) = 20299518

Properties of LCM 4502 and 4509

(i) The LCM of 4509 and 4502 is associative

LCM of 4502 and 4509 = LCM of 4509 and 4502

Related Least Common Multiples of 4502

Related Least Common Multiples of 4509

Frequently Asked Questions on LCM of 4502 and 4509

1. What is the LCM of 4502 and 4509?

Answer: LCM of 4502 and 4509 is 20299518.

2. What are the Factors of 4502?

Answer: Factors of 4502 are 1, 2, 2251, 4502. There are 4 integers that are factors of 4502. The greatest factor of 4502 is 4502.

3. What are the Factors of 4509?

Answer: Factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509. There are 8 integers that are factors of 4509. The greatest factor of 4509 is 4509.

4. How to Find the LCM of 4502 and 4509?

Answer:

Least Common Multiple of 4502 and 4509 = 20299518

Step 1: Find the prime factorization of 4502

4502 = 2 x 2251

Step 2: Find the prime factorization of 4509

4509 = 3 x 3 x 3 x 167

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

LCM = 20299518 = 2 x 3 x 3 x 3 x 167 x 2251

Step 4: Therefore, the least common multiple of 4502 and 4509 is 20299518.