Least Common Multiple of 7498 and 7502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7498 and 7502 the smallest integer that is 28124998 that is divisible by both numbers.

Least Common Multiple (LCM) of 7498 and 7502 is 28124998.

LCM(7498,7502) = 28124998

LCM of 7498 and 7502

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

LCM of:
and

Least Common Multiple of 7498 and 7502

LCM of 7498 and 7502 is 28124998

Least common multiple can be found by multiplying the highest exponent prime factors of 7498 and 7502. First we will calculate the prime factors of 7498 and 7502.

Prime Factorization of 7498


2 7498
23 3749
163 163
1

Prime factors of 7498 are 2, 23,163. Prime factorization of 7498 in exponential form is:

7498 = 21×231×1631

Prime Factorization of 7502


2 7502
11 3751
11 341
31 31
1

Prime factors of 7502 are 2, 11,31. Prime factorization of 7502 in exponential form is:

7502 = 21×112×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7498 and 7502.

LCM(7498,7502) = 21×112×231×311×1631
LCM(7498,7502) = 28124998

Factors of 7498

List of positive integer factors of 7498 that divides 7498 without a remainder.

1, 2, 23, 46, 163, 326, 3749, 7498

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502

Least Common Multiple of 7498 and 7502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7498 and 7502, than apply into the LCM equation.

GCF(7498,7502) = 2
LCM(7498,7502) = ( 7498 × 7502) / 2
LCM(7498,7502) = 56249996 / 2
LCM(7498,7502) = 28124998

Properties of LCM 7498 and 7502

(i) The LCM of 7502 and 7498 is associative

LCM of 7498 and 7502 = LCM of 7502 and 7498

Related Least Common Multiples of 7498

Related Least Common Multiples of 7502

Frequently Asked Questions on LCM of 7498 and 7502

1. What is the LCM of 7498 and 7502?

Answer: LCM of 7498 and 7502 is 28124998.

2. What are the Factors of 7498?

Answer: Factors of 7498 are 1, 2, 23, 46, 163, 326, 3749, 7498. There are 8 integers that are factors of 7498. The greatest factor of 7498 is 7498.

3. What are the Factors of 7502?

Answer: Factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502. There are 12 integers that are factors of 7502. The greatest factor of 7502 is 7502.

4. How to Find the LCM of 7498 and 7502?

Answer:

Least Common Multiple of 7498 and 7502 = 28124998

Step 1: Find the prime factorization of 7498

7498 = 2 x 23 x 163

Step 2: Find the prime factorization of 7502

7502 = 2 x 11 x 11 x 31

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

LCM = 28124998 = 2 x 11 x 11 x 23 x 31 x 163

Step 4: Therefore, the least common multiple of 7498 and 7502 is 28124998.