Least Common Multiple of 3606 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 3606 and 3612 the smallest integer that is 2170812 that is divisible by both numbers.

Least Common Multiple (LCM) of 3606 and 3612 is 2170812.

LCM(3606,3612) = 2170812

LCM of 3606 and 3612

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

LCM of:
and

Least Common Multiple of 3606 and 3612

LCM of 3606 and 3612 is 2170812

Least common multiple can be found by multiplying the highest exponent prime factors of 3606 and 3612. First we will calculate the prime factors of 3606 and 3612.

Prime Factorization of 3606


2 3606
3 1803
601 601
1

Prime factors of 3606 are 2, 3,601. Prime factorization of 3606 in exponential form is:

3606 = 21×31×6011

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 3606 and 3612.

LCM(3606,3612) = 22×31×71×431×6011
LCM(3606,3612) = 2170812

Factors of 3606

List of positive integer factors of 3606 that divides 3606 without a remainder.

1, 2, 3, 6, 601, 1202, 1803, 3606

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 3606 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 3606 and 3612, than apply into the LCM equation.

GCF(3606,3612) = 6
LCM(3606,3612) = ( 3606 × 3612) / 6
LCM(3606,3612) = 13024872 / 6
LCM(3606,3612) = 2170812

Properties of LCM 3606 and 3612

(i) The LCM of 3612 and 3606 is associative

LCM of 3606 and 3612 = LCM of 3612 and 3606

Related Least Common Multiples of 3606

Related Least Common Multiples of 3612

Frequently Asked Questions on LCM of 3606 and 3612

1. What is the LCM of 3606 and 3612?

Answer: LCM of 3606 and 3612 is 2170812.

2. What are the Factors of 3606?

Answer: Factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606. There are 8 integers that are factors of 3606. The greatest factor of 3606 is 3606.

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 3606 and 3612?

Answer:

Least Common Multiple of 3606 and 3612 = 2170812

Step 1: Find the prime factorization of 3606

3606 = 2 x 3 x 601

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 = 2170812 = 2 x 2 x 3 x 7 x 43 x 601

Step 4: Therefore, the least common multiple of 3606 and 3612 is 2170812.