Least Common Multiple of 3615 and 3620

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 3620 the smallest integer that is 2617260 that is divisible by both numbers.

Least Common Multiple (LCM) of 3615 and 3620 is 2617260.

LCM(3615,3620) = 2617260

LCM of 3615 and 3620

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

LCM of:
and

Least Common Multiple of 3615 and 3620

LCM of 3615 and 3620 is 2617260

Least common multiple can be found by multiplying the highest exponent prime factors of 3615 and 3620. First we will calculate the prime factors of 3615 and 3620.

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 3620


2 3620
2 1810
5 905
181 181
1

Prime factors of 3620 are 2, 5,181. Prime factorization of 3620 in exponential form is:

3620 = 22×51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3615 and 3620.

LCM(3615,3620) = 22×31×51×1811×2411
LCM(3615,3620) = 2617260

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 3620

List of positive integer factors of 3620 that divides 3620 without a remainder.

1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620

Least Common Multiple of 3615 and 3620 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 3620, than apply into the LCM equation.

GCF(3615,3620) = 5
LCM(3615,3620) = ( 3615 × 3620) / 5
LCM(3615,3620) = 13086300 / 5
LCM(3615,3620) = 2617260

Properties of LCM 3615 and 3620

(i) The LCM of 3620 and 3615 is associative

LCM of 3615 and 3620 = LCM of 3620 and 3615

Related Least Common Multiples of 3615

Related Least Common Multiples of 3620

Frequently Asked Questions on LCM of 3615 and 3620

1. What is the LCM of 3615 and 3620?

Answer: LCM of 3615 and 3620 is 2617260.

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 3620?

Answer: Factors of 3620 are 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620. There are 12 integers that are factors of 3620. The greatest factor of 3620 is 3620.

4. How to Find the LCM of 3615 and 3620?

Answer:

Least Common Multiple of 3615 and 3620 = 2617260

Step 1: Find the prime factorization of 3615

3615 = 3 x 5 x 241

Step 2: Find the prime factorization of 3620

3620 = 2 x 2 x 5 x 181

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

LCM = 2617260 = 2 x 2 x 3 x 5 x 181 x 241

Step 4: Therefore, the least common multiple of 3615 and 3620 is 2617260.