Least Common Multiple of 7548 and 7556

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 7556 the smallest integer that is 14258172 that is divisible by both numbers.

Least Common Multiple (LCM) of 7548 and 7556 is 14258172.

LCM(7548,7556) = 14258172

LCM of 7548 and 7556

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

LCM of:
and

Least Common Multiple of 7548 and 7556

LCM of 7548 and 7556 is 14258172

Least common multiple can be found by multiplying the highest exponent prime factors of 7548 and 7556. First we will calculate the prime factors of 7548 and 7556.

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 7556


2 7556
2 3778
1889 1889
1

Prime factors of 7556 are 2,1889. Prime factorization of 7556 in exponential form is:

7556 = 22×18891

Now multiplying the highest exponent prime factors to calculate the LCM of 7548 and 7556.

LCM(7548,7556) = 22×31×171×371×18891
LCM(7548,7556) = 14258172

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 7556

List of positive integer factors of 7556 that divides 7556 without a remainder.

1, 2, 4, 1889, 3778, 7556

Least Common Multiple of 7548 and 7556 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 7556, than apply into the LCM equation.

GCF(7548,7556) = 4
LCM(7548,7556) = ( 7548 × 7556) / 4
LCM(7548,7556) = 57032688 / 4
LCM(7548,7556) = 14258172

Properties of LCM 7548 and 7556

(i) The LCM of 7556 and 7548 is associative

LCM of 7548 and 7556 = LCM of 7556 and 7548

Related Least Common Multiples of 7548

Related Least Common Multiples of 7556

Frequently Asked Questions on LCM of 7548 and 7556

1. What is the LCM of 7548 and 7556?

Answer: LCM of 7548 and 7556 is 14258172.

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 7556?

Answer: Factors of 7556 are 1, 2, 4, 1889, 3778, 7556. There are 6 integers that are factors of 7556. The greatest factor of 7556 is 7556.

4. How to Find the LCM of 7548 and 7556?

Answer:

Least Common Multiple of 7548 and 7556 = 14258172

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 7556

7556 = 2 x 2 x 1889

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

LCM = 14258172 = 2 x 2 x 3 x 17 x 37 x 1889

Step 4: Therefore, the least common multiple of 7548 and 7556 is 14258172.