Least Common Multiple of 5604 and 5612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5604 and 5612 the smallest integer that is 7862412 that is divisible by both numbers.

Least Common Multiple (LCM) of 5604 and 5612 is 7862412.

LCM(5604,5612) = 7862412

LCM of 5604 and 5612

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

LCM of:
and

Least Common Multiple of 5604 and 5612

LCM of 5604 and 5612 is 7862412

Least common multiple can be found by multiplying the highest exponent prime factors of 5604 and 5612. First we will calculate the prime factors of 5604 and 5612.

Prime Factorization of 5604


2 5604
2 2802
3 1401
467 467
1

Prime factors of 5604 are 2, 3,467. Prime factorization of 5604 in exponential form is:

5604 = 22×31×4671

Prime Factorization of 5612


2 5612
2 2806
23 1403
61 61
1

Prime factors of 5612 are 2, 23,61. Prime factorization of 5612 in exponential form is:

5612 = 22×231×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5604 and 5612.

LCM(5604,5612) = 22×31×231×611×4671
LCM(5604,5612) = 7862412

Factors of 5604

List of positive integer factors of 5604 that divides 5604 without a remainder.

1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604

Factors of 5612

List of positive integer factors of 5612 that divides 5612 without a remainder.

1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612

Least Common Multiple of 5604 and 5612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5604 and 5612, than apply into the LCM equation.

GCF(5604,5612) = 4
LCM(5604,5612) = ( 5604 × 5612) / 4
LCM(5604,5612) = 31449648 / 4
LCM(5604,5612) = 7862412

Properties of LCM 5604 and 5612

(i) The LCM of 5612 and 5604 is associative

LCM of 5604 and 5612 = LCM of 5612 and 5604

Related Least Common Multiples of 5604

Related Least Common Multiples of 5612

Frequently Asked Questions on LCM of 5604 and 5612

1. What is the LCM of 5604 and 5612?

Answer: LCM of 5604 and 5612 is 7862412.

2. What are the Factors of 5604?

Answer: Factors of 5604 are 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604. There are 12 integers that are factors of 5604. The greatest factor of 5604 is 5604.

3. What are the Factors of 5612?

Answer: Factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612. There are 12 integers that are factors of 5612. The greatest factor of 5612 is 5612.

4. How to Find the LCM of 5604 and 5612?

Answer:

Least Common Multiple of 5604 and 5612 = 7862412

Step 1: Find the prime factorization of 5604

5604 = 2 x 2 x 3 x 467

Step 2: Find the prime factorization of 5612

5612 = 2 x 2 x 23 x 61

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

LCM = 7862412 = 2 x 2 x 3 x 23 x 61 x 467

Step 4: Therefore, the least common multiple of 5604 and 5612 is 7862412.