Least Common Multiple of 7548 and 7555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7548 and 7555 the smallest integer that is 57025140 that is divisible by both numbers.

Least Common Multiple (LCM) of 7548 and 7555 is 57025140.

LCM(7548,7555) = 57025140

LCM of 7548 and 7555

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

LCM of:
and

Least Common Multiple of 7548 and 7555

LCM of 7548 and 7555 is 57025140

Least common multiple can be found by multiplying the highest exponent prime factors of 7548 and 7555. First we will calculate the prime factors of 7548 and 7555.

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

Prime Factorization of 7555


5 7555
1511 1511
1

Prime factors of 7555 are 5,1511. Prime factorization of 7555 in exponential form is:

7555 = 51×15111

Now multiplying the highest exponent prime factors to calculate the LCM of 7548 and 7555.

LCM(7548,7555) = 22×31×51×171×371×15111
LCM(7548,7555) = 57025140

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

Factors of 7555

List of positive integer factors of 7555 that divides 7555 without a remainder.

1, 5, 1511, 7555

Least Common Multiple of 7548 and 7555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7548 and 7555, than apply into the LCM equation.

GCF(7548,7555) = 1
LCM(7548,7555) = ( 7548 × 7555) / 1
LCM(7548,7555) = 57025140 / 1
LCM(7548,7555) = 57025140

Properties of LCM 7548 and 7555

(i) The LCM of 7555 and 7548 is associative

LCM of 7548 and 7555 = LCM of 7555 and 7548

Related Least Common Multiples of 7548

Related Least Common Multiples of 7555

Frequently Asked Questions on LCM of 7548 and 7555

1. What is the LCM of 7548 and 7555?

Answer: LCM of 7548 and 7555 is 57025140.

2. 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.

3. What are the Factors of 7555?

Answer: Factors of 7555 are 1, 5, 1511, 7555. There are 4 integers that are factors of 7555. The greatest factor of 7555 is 7555.

4. How to Find the LCM of 7548 and 7555?

Answer:

Least Common Multiple of 7548 and 7555 = 57025140

Step 1: Find the prime factorization of 7548

7548 = 2 x 2 x 3 x 17 x 37

Step 2: Find the prime factorization of 7555

7555 = 5 x 1511

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

LCM = 57025140 = 2 x 2 x 3 x 5 x 17 x 37 x 1511

Step 4: Therefore, the least common multiple of 7548 and 7555 is 57025140.