Least Common Multiple of 3615 and 3622

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 3622 the smallest integer that is 13093530 that is divisible by both numbers.

Least Common Multiple (LCM) of 3615 and 3622 is 13093530.

LCM(3615,3622) = 13093530

LCM of 3615 and 3622

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

LCM of:
and

Least Common Multiple of 3615 and 3622

LCM of 3615 and 3622 is 13093530

Least common multiple can be found by multiplying the highest exponent prime factors of 3615 and 3622. First we will calculate the prime factors of 3615 and 3622.

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 3622


2 3622
1811 1811
1

Prime factors of 3622 are 2,1811. Prime factorization of 3622 in exponential form is:

3622 = 21×18111

Now multiplying the highest exponent prime factors to calculate the LCM of 3615 and 3622.

LCM(3615,3622) = 21×31×51×2411×18111
LCM(3615,3622) = 13093530

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 3622

List of positive integer factors of 3622 that divides 3622 without a remainder.

1, 2, 1811, 3622

Least Common Multiple of 3615 and 3622 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 3622, than apply into the LCM equation.

GCF(3615,3622) = 1
LCM(3615,3622) = ( 3615 × 3622) / 1
LCM(3615,3622) = 13093530 / 1
LCM(3615,3622) = 13093530

Properties of LCM 3615 and 3622

(i) The LCM of 3622 and 3615 is associative

LCM of 3615 and 3622 = LCM of 3622 and 3615

Related Least Common Multiples of 3615

Related Least Common Multiples of 3622

Frequently Asked Questions on LCM of 3615 and 3622

1. What is the LCM of 3615 and 3622?

Answer: LCM of 3615 and 3622 is 13093530.

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 3622?

Answer: Factors of 3622 are 1, 2, 1811, 3622. There are 4 integers that are factors of 3622. The greatest factor of 3622 is 3622.

4. How to Find the LCM of 3615 and 3622?

Answer:

Least Common Multiple of 3615 and 3622 = 13093530

Step 1: Find the prime factorization of 3615

3615 = 3 x 5 x 241

Step 2: Find the prime factorization of 3622

3622 = 2 x 1811

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

LCM = 13093530 = 2 x 3 x 5 x 241 x 1811

Step 4: Therefore, the least common multiple of 3615 and 3622 is 13093530.