Least Common Multiple of 3615 and 3623

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 3623 the smallest integer that is 13097145 that is divisible by both numbers.

Least Common Multiple (LCM) of 3615 and 3623 is 13097145.

LCM(3615,3623) = 13097145

LCM of 3615 and 3623

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

LCM of:
and

Least Common Multiple of 3615 and 3623

LCM of 3615 and 3623 is 13097145

Least common multiple can be found by multiplying the highest exponent prime factors of 3615 and 3623. First we will calculate the prime factors of 3615 and 3623.

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 3623


3623 3623
1

Prime factors of 3623 are 3623. Prime factorization of 3623 in exponential form is:

3623 = 36231

Now multiplying the highest exponent prime factors to calculate the LCM of 3615 and 3623.

LCM(3615,3623) = 31×51×2411×36231
LCM(3615,3623) = 13097145

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 3623

List of positive integer factors of 3623 that divides 3623 without a remainder.

1, 3623

Least Common Multiple of 3615 and 3623 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 3623, than apply into the LCM equation.

GCF(3615,3623) = 1
LCM(3615,3623) = ( 3615 × 3623) / 1
LCM(3615,3623) = 13097145 / 1
LCM(3615,3623) = 13097145

Properties of LCM 3615 and 3623

(i) The LCM of 3623 and 3615 is associative

LCM of 3615 and 3623 = LCM of 3623 and 3615

Related Least Common Multiples of 3615

Related Least Common Multiples of 3623

Frequently Asked Questions on LCM of 3615 and 3623

1. What is the LCM of 3615 and 3623?

Answer: LCM of 3615 and 3623 is 13097145.

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 3623?

Answer: Factors of 3623 are 1, 3623. There are 2 integers that are factors of 3623. The greatest factor of 3623 is 3623.

4. How to Find the LCM of 3615 and 3623?

Answer:

Least Common Multiple of 3615 and 3623 = 13097145

Step 1: Find the prime factorization of 3615

3615 = 3 x 5 x 241

Step 2: Find the prime factorization of 3623

3623 = 3623

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

LCM = 13097145 = 3 x 5 x 241 x 3623

Step 4: Therefore, the least common multiple of 3615 and 3623 is 13097145.