Least Common Multiple of 7543 and 7548

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 7548 the smallest integer that is 56934564 that is divisible by both numbers.

Least Common Multiple (LCM) of 7543 and 7548 is 56934564.

LCM(7543,7548) = 56934564

LCM of 7543 and 7548

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

LCM of:
and

Least Common Multiple of 7543 and 7548

LCM of 7543 and 7548 is 56934564

Least common multiple can be found by multiplying the highest exponent prime factors of 7543 and 7548. First we will calculate the prime factors of 7543 and 7548.

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 7548


2 7548
2 3774
3 1887
17 629
37 37
1

Prime factors of 7548 are 2, 3, 17,37. Prime factorization of 7548 in exponential form is:

7548 = 22×31×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7543 and 7548.

LCM(7543,7548) = 22×31×171×191×371×3971
LCM(7543,7548) = 56934564

Factors of 7543

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

1, 19, 397, 7543

Factors of 7548

List of positive integer factors of 7548 that divides 7548 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548

Least Common Multiple of 7543 and 7548 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 7548, than apply into the LCM equation.

GCF(7543,7548) = 1
LCM(7543,7548) = ( 7543 × 7548) / 1
LCM(7543,7548) = 56934564 / 1
LCM(7543,7548) = 56934564

Properties of LCM 7543 and 7548

(i) The LCM of 7548 and 7543 is associative

LCM of 7543 and 7548 = LCM of 7548 and 7543

Related Least Common Multiples of 7543

Related Least Common Multiples of 7548

Frequently Asked Questions on LCM of 7543 and 7548

1. What is the LCM of 7543 and 7548?

Answer: LCM of 7543 and 7548 is 56934564.

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 7548?

Answer: Factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548. There are 24 integers that are factors of 7548. The greatest factor of 7548 is 7548.

4. How to Find the LCM of 7543 and 7548?

Answer:

Least Common Multiple of 7543 and 7548 = 56934564

Step 1: Find the prime factorization of 7543

7543 = 19 x 397

Step 2: Find the prime factorization of 7548

7548 = 2 x 2 x 3 x 17 x 37

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

LCM = 56934564 = 2 x 2 x 3 x 17 x 19 x 37 x 397

Step 4: Therefore, the least common multiple of 7543 and 7548 is 56934564.