Least Common Multiple of 3604 and 3607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3604 and 3607 the smallest integer that is 12999628 that is divisible by both numbers.

Least Common Multiple (LCM) of 3604 and 3607 is 12999628.

LCM(3604,3607) = 12999628

LCM of 3604 and 3607

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

LCM of:
and

Least Common Multiple of 3604 and 3607

LCM of 3604 and 3607 is 12999628

Least common multiple can be found by multiplying the highest exponent prime factors of 3604 and 3607. First we will calculate the prime factors of 3604 and 3607.

Prime Factorization of 3604


2 3604
2 1802
17 901
53 53
1

Prime factors of 3604 are 2, 17,53. Prime factorization of 3604 in exponential form is:

3604 = 22×171×531

Prime Factorization of 3607


3607 3607
1

Prime factors of 3607 are 3607. Prime factorization of 3607 in exponential form is:

3607 = 36071

Now multiplying the highest exponent prime factors to calculate the LCM of 3604 and 3607.

LCM(3604,3607) = 22×171×531×36071
LCM(3604,3607) = 12999628

Factors of 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604

Factors of 3607

List of positive integer factors of 3607 that divides 3607 without a remainder.

1, 3607

Least Common Multiple of 3604 and 3607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3604 and 3607, than apply into the LCM equation.

GCF(3604,3607) = 1
LCM(3604,3607) = ( 3604 × 3607) / 1
LCM(3604,3607) = 12999628 / 1
LCM(3604,3607) = 12999628

Properties of LCM 3604 and 3607

(i) The LCM of 3607 and 3604 is associative

LCM of 3604 and 3607 = LCM of 3607 and 3604

Related Least Common Multiples of 3604

Related Least Common Multiples of 3607

Frequently Asked Questions on LCM of 3604 and 3607

1. What is the LCM of 3604 and 3607?

Answer: LCM of 3604 and 3607 is 12999628.

2. What are the Factors of 3604?

Answer: Factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604. There are 12 integers that are factors of 3604. The greatest factor of 3604 is 3604.

3. What are the Factors of 3607?

Answer: Factors of 3607 are 1, 3607. There are 2 integers that are factors of 3607. The greatest factor of 3607 is 3607.

4. How to Find the LCM of 3604 and 3607?

Answer:

Least Common Multiple of 3604 and 3607 = 12999628

Step 1: Find the prime factorization of 3604

3604 = 2 x 2 x 17 x 53

Step 2: Find the prime factorization of 3607

3607 = 3607

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

LCM = 12999628 = 2 x 2 x 17 x 53 x 3607

Step 4: Therefore, the least common multiple of 3604 and 3607 is 12999628.