Least Common Multiple of 7489 and 7495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7489 and 7495 the smallest integer that is 56130055 that is divisible by both numbers.

Least Common Multiple (LCM) of 7489 and 7495 is 56130055.

LCM(7489,7495) = 56130055

LCM of 7489 and 7495

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

LCM of:
and

Least Common Multiple of 7489 and 7495

LCM of 7489 and 7495 is 56130055

Least common multiple can be found by multiplying the highest exponent prime factors of 7489 and 7495. First we will calculate the prime factors of 7489 and 7495.

Prime Factorization of 7489


7489 7489
1

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

7489 = 74891

Prime Factorization of 7495


5 7495
1499 1499
1

Prime factors of 7495 are 5,1499. Prime factorization of 7495 in exponential form is:

7495 = 51×14991

Now multiplying the highest exponent prime factors to calculate the LCM of 7489 and 7495.

LCM(7489,7495) = 51×14991×74891
LCM(7489,7495) = 56130055

Factors of 7489

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

1, 7489

Factors of 7495

List of positive integer factors of 7495 that divides 7495 without a remainder.

1, 5, 1499, 7495

Least Common Multiple of 7489 and 7495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7489 and 7495, than apply into the LCM equation.

GCF(7489,7495) = 1
LCM(7489,7495) = ( 7489 × 7495) / 1
LCM(7489,7495) = 56130055 / 1
LCM(7489,7495) = 56130055

Properties of LCM 7489 and 7495

(i) The LCM of 7495 and 7489 is associative

LCM of 7489 and 7495 = LCM of 7495 and 7489

Related Least Common Multiples of 7489

Related Least Common Multiples of 7495

Frequently Asked Questions on LCM of 7489 and 7495

1. What is the LCM of 7489 and 7495?

Answer: LCM of 7489 and 7495 is 56130055.

2. 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.

3. What are the Factors of 7495?

Answer: Factors of 7495 are 1, 5, 1499, 7495. There are 4 integers that are factors of 7495. The greatest factor of 7495 is 7495.

4. How to Find the LCM of 7489 and 7495?

Answer:

Least Common Multiple of 7489 and 7495 = 56130055

Step 1: Find the prime factorization of 7489

7489 = 7489

Step 2: Find the prime factorization of 7495

7495 = 5 x 1499

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

LCM = 56130055 = 5 x 1499 x 7489

Step 4: Therefore, the least common multiple of 7489 and 7495 is 56130055.