Least Common Multiple of 7584 and 7591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7584 and 7591 the smallest integer that is 57570144 that is divisible by both numbers.

Least Common Multiple (LCM) of 7584 and 7591 is 57570144.

LCM(7584,7591) = 57570144

LCM of 7584 and 7591

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

LCM of:
and

Least Common Multiple of 7584 and 7591

LCM of 7584 and 7591 is 57570144

Least common multiple can be found by multiplying the highest exponent prime factors of 7584 and 7591. First we will calculate the prime factors of 7584 and 7591.

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

Prime Factorization of 7591


7591 7591
1

Prime factors of 7591 are 7591. Prime factorization of 7591 in exponential form is:

7591 = 75911

Now multiplying the highest exponent prime factors to calculate the LCM of 7584 and 7591.

LCM(7584,7591) = 25×31×791×75911
LCM(7584,7591) = 57570144

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

Factors of 7591

List of positive integer factors of 7591 that divides 7591 without a remainder.

1, 7591

Least Common Multiple of 7584 and 7591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7584 and 7591, than apply into the LCM equation.

GCF(7584,7591) = 1
LCM(7584,7591) = ( 7584 × 7591) / 1
LCM(7584,7591) = 57570144 / 1
LCM(7584,7591) = 57570144

Properties of LCM 7584 and 7591

(i) The LCM of 7591 and 7584 is associative

LCM of 7584 and 7591 = LCM of 7591 and 7584

Related Least Common Multiples of 7584

Related Least Common Multiples of 7591

Frequently Asked Questions on LCM of 7584 and 7591

1. What is the LCM of 7584 and 7591?

Answer: LCM of 7584 and 7591 is 57570144.

2. 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.

3. What are the Factors of 7591?

Answer: Factors of 7591 are 1, 7591. There are 2 integers that are factors of 7591. The greatest factor of 7591 is 7591.

4. How to Find the LCM of 7584 and 7591?

Answer:

Least Common Multiple of 7584 and 7591 = 57570144

Step 1: Find the prime factorization of 7584

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

Step 2: Find the prime factorization of 7591

7591 = 7591

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

LCM = 57570144 = 2 x 2 x 2 x 2 x 2 x 3 x 79 x 7591

Step 4: Therefore, the least common multiple of 7584 and 7591 is 57570144.