Least Common Multiple of 3612 and 3617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3612 and 3617 the smallest integer that is 13064604 that is divisible by both numbers.

Least Common Multiple (LCM) of 3612 and 3617 is 13064604.

LCM(3612,3617) = 13064604

LCM of 3612 and 3617

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

LCM of:
and

Least Common Multiple of 3612 and 3617

LCM of 3612 and 3617 is 13064604

Least common multiple can be found by multiplying the highest exponent prime factors of 3612 and 3617. First we will calculate the prime factors of 3612 and 3617.

Prime Factorization of 3612


2 3612
2 1806
3 903
7 301
43 43
1

Prime factors of 3612 are 2, 3, 7,43. Prime factorization of 3612 in exponential form is:

3612 = 22×31×71×431

Prime Factorization of 3617


3617 3617
1

Prime factors of 3617 are 3617. Prime factorization of 3617 in exponential form is:

3617 = 36171

Now multiplying the highest exponent prime factors to calculate the LCM of 3612 and 3617.

LCM(3612,3617) = 22×31×71×431×36171
LCM(3612,3617) = 13064604

Factors of 3612

List of positive integer factors of 3612 that divides 3612 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612

Factors of 3617

List of positive integer factors of 3617 that divides 3617 without a remainder.

1, 3617

Least Common Multiple of 3612 and 3617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3612 and 3617, than apply into the LCM equation.

GCF(3612,3617) = 1
LCM(3612,3617) = ( 3612 × 3617) / 1
LCM(3612,3617) = 13064604 / 1
LCM(3612,3617) = 13064604

Properties of LCM 3612 and 3617

(i) The LCM of 3617 and 3612 is associative

LCM of 3612 and 3617 = LCM of 3617 and 3612

Related Least Common Multiples of 3612

Related Least Common Multiples of 3617

Frequently Asked Questions on LCM of 3612 and 3617

1. What is the LCM of 3612 and 3617?

Answer: LCM of 3612 and 3617 is 13064604.

2. What are the Factors of 3612?

Answer: Factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612. There are 24 integers that are factors of 3612. The greatest factor of 3612 is 3612.

3. What are the Factors of 3617?

Answer: Factors of 3617 are 1, 3617. There are 2 integers that are factors of 3617. The greatest factor of 3617 is 3617.

4. How to Find the LCM of 3612 and 3617?

Answer:

Least Common Multiple of 3612 and 3617 = 13064604

Step 1: Find the prime factorization of 3612

3612 = 2 x 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 3617

3617 = 3617

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

LCM = 13064604 = 2 x 2 x 3 x 7 x 43 x 3617

Step 4: Therefore, the least common multiple of 3612 and 3617 is 13064604.