Least Common Multiple of 7485 and 7491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7485 and 7491 the smallest integer that is 18690045 that is divisible by both numbers.

Least Common Multiple (LCM) of 7485 and 7491 is 18690045.

LCM(7485,7491) = 18690045

LCM of 7485 and 7491

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

LCM of:
and

Least Common Multiple of 7485 and 7491

LCM of 7485 and 7491 is 18690045

Least common multiple can be found by multiplying the highest exponent prime factors of 7485 and 7491. First we will calculate the prime factors of 7485 and 7491.

Prime Factorization of 7485


3 7485
5 2495
499 499
1

Prime factors of 7485 are 3, 5,499. Prime factorization of 7485 in exponential form is:

7485 = 31×51×4991

Prime Factorization of 7491


3 7491
11 2497
227 227
1

Prime factors of 7491 are 3, 11,227. Prime factorization of 7491 in exponential form is:

7491 = 31×111×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7485 and 7491.

LCM(7485,7491) = 31×51×111×2271×4991
LCM(7485,7491) = 18690045

Factors of 7485

List of positive integer factors of 7485 that divides 7485 without a remainder.

1, 3, 5, 15, 499, 1497, 2495, 7485

Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1, 3, 11, 33, 227, 681, 2497, 7491

Least Common Multiple of 7485 and 7491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7485 and 7491, than apply into the LCM equation.

GCF(7485,7491) = 3
LCM(7485,7491) = ( 7485 × 7491) / 3
LCM(7485,7491) = 56070135 / 3
LCM(7485,7491) = 18690045

Properties of LCM 7485 and 7491

(i) The LCM of 7491 and 7485 is associative

LCM of 7485 and 7491 = LCM of 7491 and 7485

Related Least Common Multiples of 7485

Related Least Common Multiples of 7491

Frequently Asked Questions on LCM of 7485 and 7491

1. What is the LCM of 7485 and 7491?

Answer: LCM of 7485 and 7491 is 18690045.

2. What are the Factors of 7485?

Answer: Factors of 7485 are 1, 3, 5, 15, 499, 1497, 2495, 7485. There are 8 integers that are factors of 7485. The greatest factor of 7485 is 7485.

3. What are the Factors of 7491?

Answer: Factors of 7491 are 1, 3, 11, 33, 227, 681, 2497, 7491. There are 8 integers that are factors of 7491. The greatest factor of 7491 is 7491.

4. How to Find the LCM of 7485 and 7491?

Answer:

Least Common Multiple of 7485 and 7491 = 18690045

Step 1: Find the prime factorization of 7485

7485 = 3 x 5 x 499

Step 2: Find the prime factorization of 7491

7491 = 3 x 11 x 227

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

LCM = 18690045 = 3 x 5 x 11 x 227 x 499

Step 4: Therefore, the least common multiple of 7485 and 7491 is 18690045.