Least Common Multiple of 7498 and 7504

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 7504 the smallest integer that is 28132496 that is divisible by both numbers.

Least Common Multiple (LCM) of 7498 and 7504 is 28132496.

LCM(7498,7504) = 28132496

LCM of 7498 and 7504

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

LCM of:
and

Least Common Multiple of 7498 and 7504

LCM of 7498 and 7504 is 28132496

Least common multiple can be found by multiplying the highest exponent prime factors of 7498 and 7504. First we will calculate the prime factors of 7498 and 7504.

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 7504


2 7504
2 3752
2 1876
2 938
7 469
67 67
1

Prime factors of 7504 are 2, 7,67. Prime factorization of 7504 in exponential form is:

7504 = 24×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7498 and 7504.

LCM(7498,7504) = 24×71×231×671×1631
LCM(7498,7504) = 28132496

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 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504

Least Common Multiple of 7498 and 7504 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 7504, than apply into the LCM equation.

GCF(7498,7504) = 2
LCM(7498,7504) = ( 7498 × 7504) / 2
LCM(7498,7504) = 56264992 / 2
LCM(7498,7504) = 28132496

Properties of LCM 7498 and 7504

(i) The LCM of 7504 and 7498 is associative

LCM of 7498 and 7504 = LCM of 7504 and 7498

Related Least Common Multiples of 7498

Related Least Common Multiples of 7504

Frequently Asked Questions on LCM of 7498 and 7504

1. What is the LCM of 7498 and 7504?

Answer: LCM of 7498 and 7504 is 28132496.

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 7504?

Answer: Factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504. There are 20 integers that are factors of 7504. The greatest factor of 7504 is 7504.

4. How to Find the LCM of 7498 and 7504?

Answer:

Least Common Multiple of 7498 and 7504 = 28132496

Step 1: Find the prime factorization of 7498

7498 = 2 x 23 x 163

Step 2: Find the prime factorization of 7504

7504 = 2 x 2 x 2 x 2 x 7 x 67

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

LCM = 28132496 = 2 x 2 x 2 x 2 x 7 x 23 x 67 x 163

Step 4: Therefore, the least common multiple of 7498 and 7504 is 28132496.