Least Common Multiple of 4498 and 4502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4498 and 4502 the smallest integer that is 10124998 that is divisible by both numbers.

Least Common Multiple (LCM) of 4498 and 4502 is 10124998.

LCM(4498,4502) = 10124998

LCM of 4498 and 4502

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

LCM of:
and

Least Common Multiple of 4498 and 4502

LCM of 4498 and 4502 is 10124998

Least common multiple can be found by multiplying the highest exponent prime factors of 4498 and 4502. First we will calculate the prime factors of 4498 and 4502.

Prime Factorization of 4498


2 4498
13 2249
173 173
1

Prime factors of 4498 are 2, 13,173. Prime factorization of 4498 in exponential form is:

4498 = 21×131×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4498 and 4502.

LCM(4498,4502) = 21×131×1731×22511
LCM(4498,4502) = 10124998

Factors of 4498

List of positive integer factors of 4498 that divides 4498 without a remainder.

1, 2, 13, 26, 173, 346, 2249, 4498

Factors of 4502

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

1, 2, 2251, 4502

Least Common Multiple of 4498 and 4502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4498 and 4502, than apply into the LCM equation.

GCF(4498,4502) = 2
LCM(4498,4502) = ( 4498 × 4502) / 2
LCM(4498,4502) = 20249996 / 2
LCM(4498,4502) = 10124998

Properties of LCM 4498 and 4502

(i) The LCM of 4502 and 4498 is associative

LCM of 4498 and 4502 = LCM of 4502 and 4498

Related Least Common Multiples of 4498

Related Least Common Multiples of 4502

Frequently Asked Questions on LCM of 4498 and 4502

1. What is the LCM of 4498 and 4502?

Answer: LCM of 4498 and 4502 is 10124998.

2. What are the Factors of 4498?

Answer: Factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498. There are 8 integers that are factors of 4498. The greatest factor of 4498 is 4498.

3. 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.

4. How to Find the LCM of 4498 and 4502?

Answer:

Least Common Multiple of 4498 and 4502 = 10124998

Step 1: Find the prime factorization of 4498

4498 = 2 x 13 x 173

Step 2: Find the prime factorization of 4502

4502 = 2 x 2251

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

LCM = 10124998 = 2 x 13 x 173 x 2251

Step 4: Therefore, the least common multiple of 4498 and 4502 is 10124998.