Least Common Multiple of 7605 and 7610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7605 and 7610 the smallest integer that is 11574810 that is divisible by both numbers.

Least Common Multiple (LCM) of 7605 and 7610 is 11574810.

LCM(7605,7610) = 11574810

LCM of 7605 and 7610

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

LCM of:
and

Least Common Multiple of 7605 and 7610

LCM of 7605 and 7610 is 11574810

Least common multiple can be found by multiplying the highest exponent prime factors of 7605 and 7610. First we will calculate the prime factors of 7605 and 7610.

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

Prime Factorization of 7610


2 7610
5 3805
761 761
1

Prime factors of 7610 are 2, 5,761. Prime factorization of 7610 in exponential form is:

7610 = 21×51×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 7605 and 7610.

LCM(7605,7610) = 21×32×51×132×7611
LCM(7605,7610) = 11574810

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

Factors of 7610

List of positive integer factors of 7610 that divides 7610 without a remainder.

1, 2, 5, 10, 761, 1522, 3805, 7610

Least Common Multiple of 7605 and 7610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7605 and 7610, than apply into the LCM equation.

GCF(7605,7610) = 5
LCM(7605,7610) = ( 7605 × 7610) / 5
LCM(7605,7610) = 57874050 / 5
LCM(7605,7610) = 11574810

Properties of LCM 7605 and 7610

(i) The LCM of 7610 and 7605 is associative

LCM of 7605 and 7610 = LCM of 7610 and 7605

Related Least Common Multiples of 7605

Related Least Common Multiples of 7610

Frequently Asked Questions on LCM of 7605 and 7610

1. What is the LCM of 7605 and 7610?

Answer: LCM of 7605 and 7610 is 11574810.

2. 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.

3. What are the Factors of 7610?

Answer: Factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610. There are 8 integers that are factors of 7610. The greatest factor of 7610 is 7610.

4. How to Find the LCM of 7605 and 7610?

Answer:

Least Common Multiple of 7605 and 7610 = 11574810

Step 1: Find the prime factorization of 7605

7605 = 3 x 3 x 5 x 13 x 13

Step 2: Find the prime factorization of 7610

7610 = 2 x 5 x 761

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

LCM = 11574810 = 2 x 3 x 3 x 5 x 13 x 13 x 761

Step 4: Therefore, the least common multiple of 7605 and 7610 is 11574810.