Least Common Multiple of 7491 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 7491 and 7495 the smallest integer that is 56145045 that is divisible by both numbers.

Least Common Multiple (LCM) of 7491 and 7495 is 56145045.

LCM(7491,7495) = 56145045

LCM of 7491 and 7495

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

LCM of:
and

Least Common Multiple of 7491 and 7495

LCM of 7491 and 7495 is 56145045

Least common multiple can be found by multiplying the highest exponent prime factors of 7491 and 7495. First we will calculate the prime factors of 7491 and 7495.

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

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 7491 and 7495.

LCM(7491,7495) = 31×51×111×2271×14991
LCM(7491,7495) = 56145045

Factors of 7491

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

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

Factors of 7495

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

1, 5, 1499, 7495

Least Common Multiple of 7491 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 7491 and 7495, than apply into the LCM equation.

GCF(7491,7495) = 1
LCM(7491,7495) = ( 7491 × 7495) / 1
LCM(7491,7495) = 56145045 / 1
LCM(7491,7495) = 56145045

Properties of LCM 7491 and 7495

(i) The LCM of 7495 and 7491 is associative

LCM of 7491 and 7495 = LCM of 7495 and 7491

Related Least Common Multiples of 7491

Related Least Common Multiples of 7495

Frequently Asked Questions on LCM of 7491 and 7495

1. What is the LCM of 7491 and 7495?

Answer: LCM of 7491 and 7495 is 56145045.

2. 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.

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 7491 and 7495?

Answer:

Least Common Multiple of 7491 and 7495 = 56145045

Step 1: Find the prime factorization of 7491

7491 = 3 x 11 x 227

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 = 56145045 = 3 x 5 x 11 x 227 x 1499

Step 4: Therefore, the least common multiple of 7491 and 7495 is 56145045.