Least Common Multiple of 7548 and 7552

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 7552 the smallest integer that is 14250624 that is divisible by both numbers.

Least Common Multiple (LCM) of 7548 and 7552 is 14250624.

LCM(7548,7552) = 14250624

LCM of 7548 and 7552

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

LCM of:
and

Least Common Multiple of 7548 and 7552

LCM of 7548 and 7552 is 14250624

Least common multiple can be found by multiplying the highest exponent prime factors of 7548 and 7552. First we will calculate the prime factors of 7548 and 7552.

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 7552


2 7552
2 3776
2 1888
2 944
2 472
2 236
2 118
59 59
1

Prime factors of 7552 are 2,59. Prime factorization of 7552 in exponential form is:

7552 = 27×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7548 and 7552.

LCM(7548,7552) = 27×31×171×371×591
LCM(7548,7552) = 14250624

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 7552

List of positive integer factors of 7552 that divides 7552 without a remainder.

1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552

Least Common Multiple of 7548 and 7552 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 7552, than apply into the LCM equation.

GCF(7548,7552) = 4
LCM(7548,7552) = ( 7548 × 7552) / 4
LCM(7548,7552) = 57002496 / 4
LCM(7548,7552) = 14250624

Properties of LCM 7548 and 7552

(i) The LCM of 7552 and 7548 is associative

LCM of 7548 and 7552 = LCM of 7552 and 7548

Related Least Common Multiples of 7548

Related Least Common Multiples of 7552

Frequently Asked Questions on LCM of 7548 and 7552

1. What is the LCM of 7548 and 7552?

Answer: LCM of 7548 and 7552 is 14250624.

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 7552?

Answer: Factors of 7552 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552. There are 16 integers that are factors of 7552. The greatest factor of 7552 is 7552.

4. How to Find the LCM of 7548 and 7552?

Answer:

Least Common Multiple of 7548 and 7552 = 14250624

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 7552

7552 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59

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

LCM = 14250624 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 37 x 59

Step 4: Therefore, the least common multiple of 7548 and 7552 is 14250624.