Least Common Multiple of 7543 and 7551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7543 and 7551 the smallest integer that is 56957193 that is divisible by both numbers.

Least Common Multiple (LCM) of 7543 and 7551 is 56957193.

LCM(7543,7551) = 56957193

LCM of 7543 and 7551

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

LCM of:
and

Least Common Multiple of 7543 and 7551

LCM of 7543 and 7551 is 56957193

Least common multiple can be found by multiplying the highest exponent prime factors of 7543 and 7551. First we will calculate the prime factors of 7543 and 7551.

Prime Factorization of 7543


19 7543
397 397
1

Prime factors of 7543 are 19,397. Prime factorization of 7543 in exponential form is:

7543 = 191×3971

Prime Factorization of 7551


3 7551
3 2517
839 839
1

Prime factors of 7551 are 3,839. Prime factorization of 7551 in exponential form is:

7551 = 32×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 7543 and 7551.

LCM(7543,7551) = 32×191×3971×8391
LCM(7543,7551) = 56957193

Factors of 7543

List of positive integer factors of 7543 that divides 7543 without a remainder.

1, 19, 397, 7543

Factors of 7551

List of positive integer factors of 7551 that divides 7551 without a remainder.

1, 3, 9, 839, 2517, 7551

Least Common Multiple of 7543 and 7551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7543 and 7551, than apply into the LCM equation.

GCF(7543,7551) = 1
LCM(7543,7551) = ( 7543 × 7551) / 1
LCM(7543,7551) = 56957193 / 1
LCM(7543,7551) = 56957193

Properties of LCM 7543 and 7551

(i) The LCM of 7551 and 7543 is associative

LCM of 7543 and 7551 = LCM of 7551 and 7543

Related Least Common Multiples of 7543

Related Least Common Multiples of 7551

Frequently Asked Questions on LCM of 7543 and 7551

1. What is the LCM of 7543 and 7551?

Answer: LCM of 7543 and 7551 is 56957193.

2. What are the Factors of 7543?

Answer: Factors of 7543 are 1, 19, 397, 7543. There are 4 integers that are factors of 7543. The greatest factor of 7543 is 7543.

3. What are the Factors of 7551?

Answer: Factors of 7551 are 1, 3, 9, 839, 2517, 7551. There are 6 integers that are factors of 7551. The greatest factor of 7551 is 7551.

4. How to Find the LCM of 7543 and 7551?

Answer:

Least Common Multiple of 7543 and 7551 = 56957193

Step 1: Find the prime factorization of 7543

7543 = 19 x 397

Step 2: Find the prime factorization of 7551

7551 = 3 x 3 x 839

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

LCM = 56957193 = 3 x 3 x 19 x 397 x 839

Step 4: Therefore, the least common multiple of 7543 and 7551 is 56957193.