Least Common Multiple of 7491 and 7499

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 7499 the smallest integer that is 56175009 that is divisible by both numbers.

Least Common Multiple (LCM) of 7491 and 7499 is 56175009.

LCM(7491,7499) = 56175009

LCM of 7491 and 7499

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

LCM of:
and

Least Common Multiple of 7491 and 7499

LCM of 7491 and 7499 is 56175009

Least common multiple can be found by multiplying the highest exponent prime factors of 7491 and 7499. First we will calculate the prime factors of 7491 and 7499.

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 7499


7499 7499
1

Prime factors of 7499 are 7499. Prime factorization of 7499 in exponential form is:

7499 = 74991

Now multiplying the highest exponent prime factors to calculate the LCM of 7491 and 7499.

LCM(7491,7499) = 31×111×2271×74991
LCM(7491,7499) = 56175009

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 7499

List of positive integer factors of 7499 that divides 7499 without a remainder.

1, 7499

Least Common Multiple of 7491 and 7499 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 7499, than apply into the LCM equation.

GCF(7491,7499) = 1
LCM(7491,7499) = ( 7491 × 7499) / 1
LCM(7491,7499) = 56175009 / 1
LCM(7491,7499) = 56175009

Properties of LCM 7491 and 7499

(i) The LCM of 7499 and 7491 is associative

LCM of 7491 and 7499 = LCM of 7499 and 7491

Related Least Common Multiples of 7491

Related Least Common Multiples of 7499

Frequently Asked Questions on LCM of 7491 and 7499

1. What is the LCM of 7491 and 7499?

Answer: LCM of 7491 and 7499 is 56175009.

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 7499?

Answer: Factors of 7499 are 1, 7499. There are 2 integers that are factors of 7499. The greatest factor of 7499 is 7499.

4. How to Find the LCM of 7491 and 7499?

Answer:

Least Common Multiple of 7491 and 7499 = 56175009

Step 1: Find the prime factorization of 7491

7491 = 3 x 11 x 227

Step 2: Find the prime factorization of 7499

7499 = 7499

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

LCM = 56175009 = 3 x 11 x 227 x 7499

Step 4: Therefore, the least common multiple of 7491 and 7499 is 56175009.