Least Common Multiple of 7485 and 7489

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 7489 the smallest integer that is 56055165 that is divisible by both numbers.

Least Common Multiple (LCM) of 7485 and 7489 is 56055165.

LCM(7485,7489) = 56055165

LCM of 7485 and 7489

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

LCM of:
and

Least Common Multiple of 7485 and 7489

LCM of 7485 and 7489 is 56055165

Least common multiple can be found by multiplying the highest exponent prime factors of 7485 and 7489. First we will calculate the prime factors of 7485 and 7489.

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 7489


7489 7489
1

Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:

7489 = 74891

Now multiplying the highest exponent prime factors to calculate the LCM of 7485 and 7489.

LCM(7485,7489) = 31×51×4991×74891
LCM(7485,7489) = 56055165

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 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

1, 7489

Least Common Multiple of 7485 and 7489 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 7489, than apply into the LCM equation.

GCF(7485,7489) = 1
LCM(7485,7489) = ( 7485 × 7489) / 1
LCM(7485,7489) = 56055165 / 1
LCM(7485,7489) = 56055165

Properties of LCM 7485 and 7489

(i) The LCM of 7489 and 7485 is associative

LCM of 7485 and 7489 = LCM of 7489 and 7485

Related Least Common Multiples of 7485

Related Least Common Multiples of 7489

Frequently Asked Questions on LCM of 7485 and 7489

1. What is the LCM of 7485 and 7489?

Answer: LCM of 7485 and 7489 is 56055165.

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 7489?

Answer: Factors of 7489 are 1, 7489. There are 2 integers that are factors of 7489. The greatest factor of 7489 is 7489.

4. How to Find the LCM of 7485 and 7489?

Answer:

Least Common Multiple of 7485 and 7489 = 56055165

Step 1: Find the prime factorization of 7485

7485 = 3 x 5 x 499

Step 2: Find the prime factorization of 7489

7489 = 7489

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

LCM = 56055165 = 3 x 5 x 499 x 7489

Step 4: Therefore, the least common multiple of 7485 and 7489 is 56055165.