Least Common Multiple of 7599 and 7605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7599 and 7605 the smallest integer that is 19263465 that is divisible by both numbers.

Least Common Multiple (LCM) of 7599 and 7605 is 19263465.

LCM(7599,7605) = 19263465

LCM of 7599 and 7605

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

LCM of:
and

Least Common Multiple of 7599 and 7605

LCM of 7599 and 7605 is 19263465

Least common multiple can be found by multiplying the highest exponent prime factors of 7599 and 7605. First we will calculate the prime factors of 7599 and 7605.

Prime Factorization of 7599


3 7599
17 2533
149 149
1

Prime factors of 7599 are 3, 17,149. Prime factorization of 7599 in exponential form is:

7599 = 31×171×1491

Prime Factorization of 7605


3 7605
3 2535
5 845
13 169
13 13
1

Prime factors of 7605 are 3, 5,13. Prime factorization of 7605 in exponential form is:

7605 = 32×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 7599 and 7605.

LCM(7599,7605) = 32×51×132×171×1491
LCM(7599,7605) = 19263465

Factors of 7599

List of positive integer factors of 7599 that divides 7599 without a remainder.

1, 3, 17, 51, 149, 447, 2533, 7599

Factors of 7605

List of positive integer factors of 7605 that divides 7605 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2535, 7605

Least Common Multiple of 7599 and 7605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7599 and 7605, than apply into the LCM equation.

GCF(7599,7605) = 3
LCM(7599,7605) = ( 7599 × 7605) / 3
LCM(7599,7605) = 57790395 / 3
LCM(7599,7605) = 19263465

Properties of LCM 7599 and 7605

(i) The LCM of 7605 and 7599 is associative

LCM of 7599 and 7605 = LCM of 7605 and 7599

Related Least Common Multiples of 7599

Related Least Common Multiples of 7605

Frequently Asked Questions on LCM of 7599 and 7605

1. What is the LCM of 7599 and 7605?

Answer: LCM of 7599 and 7605 is 19263465.

2. What are the Factors of 7599?

Answer: Factors of 7599 are 1, 3, 17, 51, 149, 447, 2533, 7599. There are 8 integers that are factors of 7599. The greatest factor of 7599 is 7599.

3. What are the Factors of 7605?

Answer: Factors of 7605 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2535, 7605. There are 18 integers that are factors of 7605. The greatest factor of 7605 is 7605.

4. How to Find the LCM of 7599 and 7605?

Answer:

Least Common Multiple of 7599 and 7605 = 19263465

Step 1: Find the prime factorization of 7599

7599 = 3 x 17 x 149

Step 2: Find the prime factorization of 7605

7605 = 3 x 3 x 5 x 13 x 13

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

LCM = 19263465 = 3 x 3 x 5 x 13 x 13 x 17 x 149

Step 4: Therefore, the least common multiple of 7599 and 7605 is 19263465.