Least Common Multiple of 7552 and 7559

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 7559 the smallest integer that is 57085568 that is divisible by both numbers.

Least Common Multiple (LCM) of 7552 and 7559 is 57085568.

LCM(7552,7559) = 57085568

LCM of 7552 and 7559

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

LCM of:
and

Least Common Multiple of 7552 and 7559

LCM of 7552 and 7559 is 57085568

Least common multiple can be found by multiplying the highest exponent prime factors of 7552 and 7559. First we will calculate the prime factors of 7552 and 7559.

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 7559


7559 7559
1

Prime factors of 7559 are 7559. Prime factorization of 7559 in exponential form is:

7559 = 75591

Now multiplying the highest exponent prime factors to calculate the LCM of 7552 and 7559.

LCM(7552,7559) = 27×591×75591
LCM(7552,7559) = 57085568

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 7559

List of positive integer factors of 7559 that divides 7559 without a remainder.

1, 7559

Least Common Multiple of 7552 and 7559 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 7559, than apply into the LCM equation.

GCF(7552,7559) = 1
LCM(7552,7559) = ( 7552 × 7559) / 1
LCM(7552,7559) = 57085568 / 1
LCM(7552,7559) = 57085568

Properties of LCM 7552 and 7559

(i) The LCM of 7559 and 7552 is associative

LCM of 7552 and 7559 = LCM of 7559 and 7552

Related Least Common Multiples of 7552

Related Least Common Multiples of 7559

Frequently Asked Questions on LCM of 7552 and 7559

1. What is the LCM of 7552 and 7559?

Answer: LCM of 7552 and 7559 is 57085568.

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 7559?

Answer: Factors of 7559 are 1, 7559. There are 2 integers that are factors of 7559. The greatest factor of 7559 is 7559.

4. How to Find the LCM of 7552 and 7559?

Answer:

Least Common Multiple of 7552 and 7559 = 57085568

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 7559

7559 = 7559

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

LCM = 57085568 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59 x 7559

Step 4: Therefore, the least common multiple of 7552 and 7559 is 57085568.