Least Common Multiple of 3610 and 3612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3610 and 3612 the smallest integer that is 6519660 that is divisible by both numbers.

Least Common Multiple (LCM) of 3610 and 3612 is 6519660.

LCM(3610,3612) = 6519660

LCM of 3610 and 3612

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

LCM of:
and

Least Common Multiple of 3610 and 3612

LCM of 3610 and 3612 is 6519660

Least common multiple can be found by multiplying the highest exponent prime factors of 3610 and 3612. First we will calculate the prime factors of 3610 and 3612.

Prime Factorization of 3610


2 3610
5 1805
19 361
19 19
1

Prime factors of 3610 are 2, 5,19. Prime factorization of 3610 in exponential form is:

3610 = 21×51×192

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3610 and 3612.

LCM(3610,3612) = 22×31×51×71×192×431
LCM(3610,3612) = 6519660

Factors of 3610

List of positive integer factors of 3610 that divides 3610 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610

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

Least Common Multiple of 3610 and 3612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3610 and 3612, than apply into the LCM equation.

GCF(3610,3612) = 2
LCM(3610,3612) = ( 3610 × 3612) / 2
LCM(3610,3612) = 13039320 / 2
LCM(3610,3612) = 6519660

Properties of LCM 3610 and 3612

(i) The LCM of 3612 and 3610 is associative

LCM of 3610 and 3612 = LCM of 3612 and 3610

Related Least Common Multiples of 3610

Related Least Common Multiples of 3612

Frequently Asked Questions on LCM of 3610 and 3612

1. What is the LCM of 3610 and 3612?

Answer: LCM of 3610 and 3612 is 6519660.

2. What are the Factors of 3610?

Answer: Factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610. There are 12 integers that are factors of 3610. The greatest factor of 3610 is 3610.

3. 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.

4. How to Find the LCM of 3610 and 3612?

Answer:

Least Common Multiple of 3610 and 3612 = 6519660

Step 1: Find the prime factorization of 3610

3610 = 2 x 5 x 19 x 19

Step 2: Find the prime factorization of 3612

3612 = 2 x 2 x 3 x 7 x 43

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

LCM = 6519660 = 2 x 2 x 3 x 5 x 7 x 19 x 19 x 43

Step 4: Therefore, the least common multiple of 3610 and 3612 is 6519660.