Least Common Multiple of 7540 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 7540 and 7548 the smallest integer that is 14227980 that is divisible by both numbers.

Least Common Multiple (LCM) of 7540 and 7548 is 14227980.

LCM(7540,7548) = 14227980

LCM of 7540 and 7548

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

LCM of:
and

Least Common Multiple of 7540 and 7548

LCM of 7540 and 7548 is 14227980

Least common multiple can be found by multiplying the highest exponent prime factors of 7540 and 7548. First we will calculate the prime factors of 7540 and 7548.

Prime Factorization of 7540


2 7540
2 3770
5 1885
13 377
29 29
1

Prime factors of 7540 are 2, 5, 13,29. Prime factorization of 7540 in exponential form is:

7540 = 22×51×131×291

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 7540 and 7548.

LCM(7540,7548) = 22×31×51×131×171×291×371
LCM(7540,7548) = 14227980

Factors of 7540

List of positive integer factors of 7540 that divides 7540 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540

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 7540 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 7540 and 7548, than apply into the LCM equation.

GCF(7540,7548) = 4
LCM(7540,7548) = ( 7540 × 7548) / 4
LCM(7540,7548) = 56911920 / 4
LCM(7540,7548) = 14227980

Properties of LCM 7540 and 7548

(i) The LCM of 7548 and 7540 is associative

LCM of 7540 and 7548 = LCM of 7548 and 7540

Related Least Common Multiples of 7540

Related Least Common Multiples of 7548

Frequently Asked Questions on LCM of 7540 and 7548

1. What is the LCM of 7540 and 7548?

Answer: LCM of 7540 and 7548 is 14227980.

2. What are the Factors of 7540?

Answer: Factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540. There are 24 integers that are factors of 7540. The greatest factor of 7540 is 7540.

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 7540 and 7548?

Answer:

Least Common Multiple of 7540 and 7548 = 14227980

Step 1: Find the prime factorization of 7540

7540 = 2 x 2 x 5 x 13 x 29

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 = 14227980 = 2 x 2 x 3 x 5 x 13 x 17 x 29 x 37

Step 4: Therefore, the least common multiple of 7540 and 7548 is 14227980.