Least Common Multiple of 3608 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 3608 and 3612 the smallest integer that is 3258024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3608 and 3612 is 3258024.

LCM(3608,3612) = 3258024

LCM of 3608 and 3612

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

LCM of:
and

Least Common Multiple of 3608 and 3612

LCM of 3608 and 3612 is 3258024

Least common multiple can be found by multiplying the highest exponent prime factors of 3608 and 3612. First we will calculate the prime factors of 3608 and 3612.

Prime Factorization of 3608


2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 3608 are 2, 11,41. Prime factorization of 3608 in exponential form is:

3608 = 23×111×411

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 3608 and 3612.

LCM(3608,3612) = 23×31×71×111×411×431
LCM(3608,3612) = 3258024

Factors of 3608

List of positive integer factors of 3608 that divides 3608 without a remainder.

1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608

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 3608 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 3608 and 3612, than apply into the LCM equation.

GCF(3608,3612) = 4
LCM(3608,3612) = ( 3608 × 3612) / 4
LCM(3608,3612) = 13032096 / 4
LCM(3608,3612) = 3258024

Properties of LCM 3608 and 3612

(i) The LCM of 3612 and 3608 is associative

LCM of 3608 and 3612 = LCM of 3612 and 3608

Related Least Common Multiples of 3608

Related Least Common Multiples of 3612

Frequently Asked Questions on LCM of 3608 and 3612

1. What is the LCM of 3608 and 3612?

Answer: LCM of 3608 and 3612 is 3258024.

2. What are the Factors of 3608?

Answer: Factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608. There are 16 integers that are factors of 3608. The greatest factor of 3608 is 3608.

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 3608 and 3612?

Answer:

Least Common Multiple of 3608 and 3612 = 3258024

Step 1: Find the prime factorization of 3608

3608 = 2 x 2 x 2 x 11 x 41

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 = 3258024 = 2 x 2 x 2 x 3 x 7 x 11 x 41 x 43

Step 4: Therefore, the least common multiple of 3608 and 3612 is 3258024.