Least Common Multiple of 7552 and 7558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7552 and 7558 the smallest integer that is 28539008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7552 and 7558 is 28539008.

LCM(7552,7558) = 28539008

LCM of 7552 and 7558

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

LCM of:
and

Least Common Multiple of 7552 and 7558

LCM of 7552 and 7558 is 28539008

Least common multiple can be found by multiplying the highest exponent prime factors of 7552 and 7558. First we will calculate the prime factors of 7552 and 7558.

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

Prime Factorization of 7558


2 7558
3779 3779
1

Prime factors of 7558 are 2,3779. Prime factorization of 7558 in exponential form is:

7558 = 21×37791

Now multiplying the highest exponent prime factors to calculate the LCM of 7552 and 7558.

LCM(7552,7558) = 27×591×37791
LCM(7552,7558) = 28539008

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

Factors of 7558

List of positive integer factors of 7558 that divides 7558 without a remainder.

1, 2, 3779, 7558

Least Common Multiple of 7552 and 7558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7552 and 7558, than apply into the LCM equation.

GCF(7552,7558) = 2
LCM(7552,7558) = ( 7552 × 7558) / 2
LCM(7552,7558) = 57078016 / 2
LCM(7552,7558) = 28539008

Properties of LCM 7552 and 7558

(i) The LCM of 7558 and 7552 is associative

LCM of 7552 and 7558 = LCM of 7558 and 7552

Related Least Common Multiples of 7552

Related Least Common Multiples of 7558

Frequently Asked Questions on LCM of 7552 and 7558

1. What is the LCM of 7552 and 7558?

Answer: LCM of 7552 and 7558 is 28539008.

2. 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.

3. What are the Factors of 7558?

Answer: Factors of 7558 are 1, 2, 3779, 7558. There are 4 integers that are factors of 7558. The greatest factor of 7558 is 7558.

4. How to Find the LCM of 7552 and 7558?

Answer:

Least Common Multiple of 7552 and 7558 = 28539008

Step 1: Find the prime factorization of 7552

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

Step 2: Find the prime factorization of 7558

7558 = 2 x 3779

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

LCM = 28539008 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59 x 3779

Step 4: Therefore, the least common multiple of 7552 and 7558 is 28539008.