Least Common Multiple of 3609 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 3609 and 3612 the smallest integer that is 4345236 that is divisible by both numbers.

Least Common Multiple (LCM) of 3609 and 3612 is 4345236.

LCM(3609,3612) = 4345236

LCM of 3609 and 3612

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

LCM of:
and

Least Common Multiple of 3609 and 3612

LCM of 3609 and 3612 is 4345236

Least common multiple can be found by multiplying the highest exponent prime factors of 3609 and 3612. First we will calculate the prime factors of 3609 and 3612.

Prime Factorization of 3609


3 3609
3 1203
401 401
1

Prime factors of 3609 are 3,401. Prime factorization of 3609 in exponential form is:

3609 = 32×4011

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 3609 and 3612.

LCM(3609,3612) = 22×32×71×431×4011
LCM(3609,3612) = 4345236

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1, 3, 9, 401, 1203, 3609

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 3609 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 3609 and 3612, than apply into the LCM equation.

GCF(3609,3612) = 3
LCM(3609,3612) = ( 3609 × 3612) / 3
LCM(3609,3612) = 13035708 / 3
LCM(3609,3612) = 4345236

Properties of LCM 3609 and 3612

(i) The LCM of 3612 and 3609 is associative

LCM of 3609 and 3612 = LCM of 3612 and 3609

Related Least Common Multiples of 3609

Related Least Common Multiples of 3612

Frequently Asked Questions on LCM of 3609 and 3612

1. What is the LCM of 3609 and 3612?

Answer: LCM of 3609 and 3612 is 4345236.

2. What are the Factors of 3609?

Answer: Factors of 3609 are 1, 3, 9, 401, 1203, 3609. There are 6 integers that are factors of 3609. The greatest factor of 3609 is 3609.

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 3609 and 3612?

Answer:

Least Common Multiple of 3609 and 3612 = 4345236

Step 1: Find the prime factorization of 3609

3609 = 3 x 3 x 401

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 = 4345236 = 2 x 2 x 3 x 3 x 7 x 43 x 401

Step 4: Therefore, the least common multiple of 3609 and 3612 is 4345236.