Least Common Multiple of 7579 and 7584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7579 and 7584 the smallest integer that is 57479136 that is divisible by both numbers.

Least Common Multiple (LCM) of 7579 and 7584 is 57479136.

LCM(7579,7584) = 57479136

LCM of 7579 and 7584

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

LCM of:
and

Least Common Multiple of 7579 and 7584

LCM of 7579 and 7584 is 57479136

Least common multiple can be found by multiplying the highest exponent prime factors of 7579 and 7584. First we will calculate the prime factors of 7579 and 7584.

Prime Factorization of 7579


11 7579
13 689
53 53
1

Prime factors of 7579 are 11, 13,53. Prime factorization of 7579 in exponential form is:

7579 = 111×131×531

Prime Factorization of 7584


2 7584
2 3792
2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 7584 are 2, 3,79. Prime factorization of 7584 in exponential form is:

7584 = 25×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7579 and 7584.

LCM(7579,7584) = 25×31×111×131×531×791
LCM(7579,7584) = 57479136

Factors of 7579

List of positive integer factors of 7579 that divides 7579 without a remainder.

1, 11, 13, 53, 143, 583, 689, 7579

Factors of 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584

Least Common Multiple of 7579 and 7584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7579 and 7584, than apply into the LCM equation.

GCF(7579,7584) = 1
LCM(7579,7584) = ( 7579 × 7584) / 1
LCM(7579,7584) = 57479136 / 1
LCM(7579,7584) = 57479136

Properties of LCM 7579 and 7584

(i) The LCM of 7584 and 7579 is associative

LCM of 7579 and 7584 = LCM of 7584 and 7579

Related Least Common Multiples of 7579

Related Least Common Multiples of 7584

Frequently Asked Questions on LCM of 7579 and 7584

1. What is the LCM of 7579 and 7584?

Answer: LCM of 7579 and 7584 is 57479136.

2. What are the Factors of 7579?

Answer: Factors of 7579 are 1, 11, 13, 53, 143, 583, 689, 7579. There are 8 integers that are factors of 7579. The greatest factor of 7579 is 7579.

3. What are the Factors of 7584?

Answer: Factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584. There are 24 integers that are factors of 7584. The greatest factor of 7584 is 7584.

4. How to Find the LCM of 7579 and 7584?

Answer:

Least Common Multiple of 7579 and 7584 = 57479136

Step 1: Find the prime factorization of 7579

7579 = 11 x 13 x 53

Step 2: Find the prime factorization of 7584

7584 = 2 x 2 x 2 x 2 x 2 x 3 x 79

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

LCM = 57479136 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 x 53 x 79

Step 4: Therefore, the least common multiple of 7579 and 7584 is 57479136.