Least Common Multiple of 7487 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 7487 and 7491 the smallest integer that is 56085117 that is divisible by both numbers.

Least Common Multiple (LCM) of 7487 and 7491 is 56085117.

LCM(7487,7491) = 56085117

LCM of 7487 and 7491

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

LCM of:
and

Least Common Multiple of 7487 and 7491

LCM of 7487 and 7491 is 56085117

Least common multiple can be found by multiplying the highest exponent prime factors of 7487 and 7491. First we will calculate the prime factors of 7487 and 7491.

Prime Factorization of 7487


7487 7487
1

Prime factors of 7487 are 7487. Prime factorization of 7487 in exponential form is:

7487 = 74871

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 7487 and 7491.

LCM(7487,7491) = 31×111×2271×74871
LCM(7487,7491) = 56085117

Factors of 7487

List of positive integer factors of 7487 that divides 7487 without a remainder.

1, 7487

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 7487 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 7487 and 7491, than apply into the LCM equation.

GCF(7487,7491) = 1
LCM(7487,7491) = ( 7487 × 7491) / 1
LCM(7487,7491) = 56085117 / 1
LCM(7487,7491) = 56085117

Properties of LCM 7487 and 7491

(i) The LCM of 7491 and 7487 is associative

LCM of 7487 and 7491 = LCM of 7491 and 7487

Related Least Common Multiples of 7487

Related Least Common Multiples of 7491

Frequently Asked Questions on LCM of 7487 and 7491

1. What is the LCM of 7487 and 7491?

Answer: LCM of 7487 and 7491 is 56085117.

2. What are the Factors of 7487?

Answer: Factors of 7487 are 1, 7487. There are 2 integers that are factors of 7487. The greatest factor of 7487 is 7487.

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 7487 and 7491?

Answer:

Least Common Multiple of 7487 and 7491 = 56085117

Step 1: Find the prime factorization of 7487

7487 = 7487

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 = 56085117 = 3 x 11 x 227 x 7487

Step 4: Therefore, the least common multiple of 7487 and 7491 is 56085117.