Least Common Multiple of 3607 and 3615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3607 and 3615 the smallest integer that is 13039305 that is divisible by both numbers.

Least Common Multiple (LCM) of 3607 and 3615 is 13039305.

LCM(3607,3615) = 13039305

LCM of 3607 and 3615

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

LCM of:
and

Least Common Multiple of 3607 and 3615

LCM of 3607 and 3615 is 13039305

Least common multiple can be found by multiplying the highest exponent prime factors of 3607 and 3615. First we will calculate the prime factors of 3607 and 3615.

Prime Factorization of 3607


3607 3607
1

Prime factors of 3607 are 3607. Prime factorization of 3607 in exponential form is:

3607 = 36071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3607 and 3615.

LCM(3607,3615) = 31×51×2411×36071
LCM(3607,3615) = 13039305

Factors of 3607

List of positive integer factors of 3607 that divides 3607 without a remainder.

1, 3607

Factors of 3615

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

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

Least Common Multiple of 3607 and 3615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3607 and 3615, than apply into the LCM equation.

GCF(3607,3615) = 1
LCM(3607,3615) = ( 3607 × 3615) / 1
LCM(3607,3615) = 13039305 / 1
LCM(3607,3615) = 13039305

Properties of LCM 3607 and 3615

(i) The LCM of 3615 and 3607 is associative

LCM of 3607 and 3615 = LCM of 3615 and 3607

Related Least Common Multiples of 3607

Related Least Common Multiples of 3615

Frequently Asked Questions on LCM of 3607 and 3615

1. What is the LCM of 3607 and 3615?

Answer: LCM of 3607 and 3615 is 13039305.

2. What are the Factors of 3607?

Answer: Factors of 3607 are 1, 3607. There are 2 integers that are factors of 3607. The greatest factor of 3607 is 3607.

3. 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.

4. How to Find the LCM of 3607 and 3615?

Answer:

Least Common Multiple of 3607 and 3615 = 13039305

Step 1: Find the prime factorization of 3607

3607 = 3607

Step 2: Find the prime factorization of 3615

3615 = 3 x 5 x 241

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

LCM = 13039305 = 3 x 5 x 241 x 3607

Step 4: Therefore, the least common multiple of 3607 and 3615 is 13039305.