Least Common Multiple of 7605 and 7612

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 7612 the smallest integer that is 57889260 that is divisible by both numbers.

Least Common Multiple (LCM) of 7605 and 7612 is 57889260.

LCM(7605,7612) = 57889260

LCM of 7605 and 7612

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

LCM of:
and

Least Common Multiple of 7605 and 7612

LCM of 7605 and 7612 is 57889260

Least common multiple can be found by multiplying the highest exponent prime factors of 7605 and 7612. First we will calculate the prime factors of 7605 and 7612.

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 7612


2 7612
2 3806
11 1903
173 173
1

Prime factors of 7612 are 2, 11,173. Prime factorization of 7612 in exponential form is:

7612 = 22×111×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7605 and 7612.

LCM(7605,7612) = 22×32×51×111×132×1731
LCM(7605,7612) = 57889260

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 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612

Least Common Multiple of 7605 and 7612 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 7612, than apply into the LCM equation.

GCF(7605,7612) = 1
LCM(7605,7612) = ( 7605 × 7612) / 1
LCM(7605,7612) = 57889260 / 1
LCM(7605,7612) = 57889260

Properties of LCM 7605 and 7612

(i) The LCM of 7612 and 7605 is associative

LCM of 7605 and 7612 = LCM of 7612 and 7605

Related Least Common Multiples of 7605

Related Least Common Multiples of 7612

Frequently Asked Questions on LCM of 7605 and 7612

1. What is the LCM of 7605 and 7612?

Answer: LCM of 7605 and 7612 is 57889260.

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 7612?

Answer: Factors of 7612 are 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612. There are 12 integers that are factors of 7612. The greatest factor of 7612 is 7612.

4. How to Find the LCM of 7605 and 7612?

Answer:

Least Common Multiple of 7605 and 7612 = 57889260

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 7612

7612 = 2 x 2 x 11 x 173

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

LCM = 57889260 = 2 x 2 x 3 x 3 x 5 x 11 x 13 x 13 x 173

Step 4: Therefore, the least common multiple of 7605 and 7612 is 57889260.