Least Common Multiple of 7538 and 7543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7538 and 7543 the smallest integer that is 56859134 that is divisible by both numbers.

Least Common Multiple (LCM) of 7538 and 7543 is 56859134.

LCM(7538,7543) = 56859134

LCM of 7538 and 7543

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

LCM of:
and

Least Common Multiple of 7538 and 7543

LCM of 7538 and 7543 is 56859134

Least common multiple can be found by multiplying the highest exponent prime factors of 7538 and 7543. First we will calculate the prime factors of 7538 and 7543.

Prime Factorization of 7538


2 7538
3769 3769
1

Prime factors of 7538 are 2,3769. Prime factorization of 7538 in exponential form is:

7538 = 21×37691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7538 and 7543.

LCM(7538,7543) = 21×191×3971×37691
LCM(7538,7543) = 56859134

Factors of 7538

List of positive integer factors of 7538 that divides 7538 without a remainder.

1, 2, 3769, 7538

Factors of 7543

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

1, 19, 397, 7543

Least Common Multiple of 7538 and 7543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7538 and 7543, than apply into the LCM equation.

GCF(7538,7543) = 1
LCM(7538,7543) = ( 7538 × 7543) / 1
LCM(7538,7543) = 56859134 / 1
LCM(7538,7543) = 56859134

Properties of LCM 7538 and 7543

(i) The LCM of 7543 and 7538 is associative

LCM of 7538 and 7543 = LCM of 7543 and 7538

Related Least Common Multiples of 7538

Related Least Common Multiples of 7543

Frequently Asked Questions on LCM of 7538 and 7543

1. What is the LCM of 7538 and 7543?

Answer: LCM of 7538 and 7543 is 56859134.

2. What are the Factors of 7538?

Answer: Factors of 7538 are 1, 2, 3769, 7538. There are 4 integers that are factors of 7538. The greatest factor of 7538 is 7538.

3. 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.

4. How to Find the LCM of 7538 and 7543?

Answer:

Least Common Multiple of 7538 and 7543 = 56859134

Step 1: Find the prime factorization of 7538

7538 = 2 x 3769

Step 2: Find the prime factorization of 7543

7543 = 19 x 397

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

LCM = 56859134 = 2 x 19 x 397 x 3769

Step 4: Therefore, the least common multiple of 7538 and 7543 is 56859134.