Least Common Multiple of 3615 and 3619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3615 and 3619 the smallest integer that is 13082685 that is divisible by both numbers.

Least Common Multiple (LCM) of 3615 and 3619 is 13082685.

LCM(3615,3619) = 13082685

LCM of 3615 and 3619

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

LCM of:
and

Least Common Multiple of 3615 and 3619

LCM of 3615 and 3619 is 13082685

Least common multiple can be found by multiplying the highest exponent prime factors of 3615 and 3619. First we will calculate the prime factors of 3615 and 3619.

Prime Factorization of 3615


3 3615
5 1205
241 241
1

Prime factors of 3615 are 3, 5,241. Prime factorization of 3615 in exponential form is:

3615 = 31×51×2411

Prime Factorization of 3619


7 3619
11 517
47 47
1

Prime factors of 3619 are 7, 11,47. Prime factorization of 3619 in exponential form is:

3619 = 71×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3615 and 3619.

LCM(3615,3619) = 31×51×71×111×471×2411
LCM(3615,3619) = 13082685

Factors of 3615

List of positive integer factors of 3615 that divides 3615 without a remainder.

1, 3, 5, 15, 241, 723, 1205, 3615

Factors of 3619

List of positive integer factors of 3619 that divides 3619 without a remainder.

1, 7, 11, 47, 77, 329, 517, 3619

Least Common Multiple of 3615 and 3619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3615 and 3619, than apply into the LCM equation.

GCF(3615,3619) = 1
LCM(3615,3619) = ( 3615 × 3619) / 1
LCM(3615,3619) = 13082685 / 1
LCM(3615,3619) = 13082685

Properties of LCM 3615 and 3619

(i) The LCM of 3619 and 3615 is associative

LCM of 3615 and 3619 = LCM of 3619 and 3615

Related Least Common Multiples of 3615

Related Least Common Multiples of 3619

Frequently Asked Questions on LCM of 3615 and 3619

1. What is the LCM of 3615 and 3619?

Answer: LCM of 3615 and 3619 is 13082685.

2. What are the Factors of 3615?

Answer: Factors of 3615 are 1, 3, 5, 15, 241, 723, 1205, 3615. There are 8 integers that are factors of 3615. The greatest factor of 3615 is 3615.

3. What are the Factors of 3619?

Answer: Factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619. There are 8 integers that are factors of 3619. The greatest factor of 3619 is 3619.

4. How to Find the LCM of 3615 and 3619?

Answer:

Least Common Multiple of 3615 and 3619 = 13082685

Step 1: Find the prime factorization of 3615

3615 = 3 x 5 x 241

Step 2: Find the prime factorization of 3619

3619 = 7 x 11 x 47

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

LCM = 13082685 = 3 x 5 x 7 x 11 x 47 x 241

Step 4: Therefore, the least common multiple of 3615 and 3619 is 13082685.