Least Common Multiple of 7598 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 7598 and 7605 the smallest integer that is 57782790 that is divisible by both numbers.

Least Common Multiple (LCM) of 7598 and 7605 is 57782790.

LCM(7598,7605) = 57782790

LCM of 7598 and 7605

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

LCM of:
and

Least Common Multiple of 7598 and 7605

LCM of 7598 and 7605 is 57782790

Least common multiple can be found by multiplying the highest exponent prime factors of 7598 and 7605. First we will calculate the prime factors of 7598 and 7605.

Prime Factorization of 7598


2 7598
29 3799
131 131
1

Prime factors of 7598 are 2, 29,131. Prime factorization of 7598 in exponential form is:

7598 = 21×291×1311

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 7598 and 7605.

LCM(7598,7605) = 21×32×51×132×291×1311
LCM(7598,7605) = 57782790

Factors of 7598

List of positive integer factors of 7598 that divides 7598 without a remainder.

1, 2, 29, 58, 131, 262, 3799, 7598

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 7598 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 7598 and 7605, than apply into the LCM equation.

GCF(7598,7605) = 1
LCM(7598,7605) = ( 7598 × 7605) / 1
LCM(7598,7605) = 57782790 / 1
LCM(7598,7605) = 57782790

Properties of LCM 7598 and 7605

(i) The LCM of 7605 and 7598 is associative

LCM of 7598 and 7605 = LCM of 7605 and 7598

Related Least Common Multiples of 7598

Related Least Common Multiples of 7605

Frequently Asked Questions on LCM of 7598 and 7605

1. What is the LCM of 7598 and 7605?

Answer: LCM of 7598 and 7605 is 57782790.

2. What are the Factors of 7598?

Answer: Factors of 7598 are 1, 2, 29, 58, 131, 262, 3799, 7598. There are 8 integers that are factors of 7598. The greatest factor of 7598 is 7598.

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 7598 and 7605?

Answer:

Least Common Multiple of 7598 and 7605 = 57782790

Step 1: Find the prime factorization of 7598

7598 = 2 x 29 x 131

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 = 57782790 = 2 x 3 x 3 x 5 x 13 x 13 x 29 x 131

Step 4: Therefore, the least common multiple of 7598 and 7605 is 57782790.