Least Common Multiple of 3611 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 3611 and 3615 the smallest integer that is 13053765 that is divisible by both numbers.

Least Common Multiple (LCM) of 3611 and 3615 is 13053765.

LCM(3611,3615) = 13053765

LCM of 3611 and 3615

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

LCM of:
and

Least Common Multiple of 3611 and 3615

LCM of 3611 and 3615 is 13053765

Least common multiple can be found by multiplying the highest exponent prime factors of 3611 and 3615. First we will calculate the prime factors of 3611 and 3615.

Prime Factorization of 3611


23 3611
157 157
1

Prime factors of 3611 are 23,157. Prime factorization of 3611 in exponential form is:

3611 = 231×1571

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 3611 and 3615.

LCM(3611,3615) = 31×51×231×1571×2411
LCM(3611,3615) = 13053765

Factors of 3611

List of positive integer factors of 3611 that divides 3611 without a remainder.

1, 23, 157, 3611

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 3611 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 3611 and 3615, than apply into the LCM equation.

GCF(3611,3615) = 1
LCM(3611,3615) = ( 3611 × 3615) / 1
LCM(3611,3615) = 13053765 / 1
LCM(3611,3615) = 13053765

Properties of LCM 3611 and 3615

(i) The LCM of 3615 and 3611 is associative

LCM of 3611 and 3615 = LCM of 3615 and 3611

Related Least Common Multiples of 3611

Related Least Common Multiples of 3615

Frequently Asked Questions on LCM of 3611 and 3615

1. What is the LCM of 3611 and 3615?

Answer: LCM of 3611 and 3615 is 13053765.

2. What are the Factors of 3611?

Answer: Factors of 3611 are 1, 23, 157, 3611. There are 4 integers that are factors of 3611. The greatest factor of 3611 is 3611.

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 3611 and 3615?

Answer:

Least Common Multiple of 3611 and 3615 = 13053765

Step 1: Find the prime factorization of 3611

3611 = 23 x 157

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 = 13053765 = 3 x 5 x 23 x 157 x 241

Step 4: Therefore, the least common multiple of 3611 and 3615 is 13053765.