Least Common Multiple of 5608 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 5608 and 5612 the smallest integer that is 7868024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5608 and 5612 is 7868024.

LCM(5608,5612) = 7868024

LCM of 5608 and 5612

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

LCM of:
and

Least Common Multiple of 5608 and 5612

LCM of 5608 and 5612 is 7868024

Least common multiple can be found by multiplying the highest exponent prime factors of 5608 and 5612. First we will calculate the prime factors of 5608 and 5612.

Prime Factorization of 5608


2 5608
2 2804
2 1402
701 701
1

Prime factors of 5608 are 2,701. Prime factorization of 5608 in exponential form is:

5608 = 23×7011

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 5608 and 5612.

LCM(5608,5612) = 23×231×611×7011
LCM(5608,5612) = 7868024

Factors of 5608

List of positive integer factors of 5608 that divides 5608 without a remainder.

1, 2, 4, 8, 701, 1402, 2804, 5608

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 5608 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 5608 and 5612, than apply into the LCM equation.

GCF(5608,5612) = 4
LCM(5608,5612) = ( 5608 × 5612) / 4
LCM(5608,5612) = 31472096 / 4
LCM(5608,5612) = 7868024

Properties of LCM 5608 and 5612

(i) The LCM of 5612 and 5608 is associative

LCM of 5608 and 5612 = LCM of 5612 and 5608

Related Least Common Multiples of 5608

Related Least Common Multiples of 5612

Frequently Asked Questions on LCM of 5608 and 5612

1. What is the LCM of 5608 and 5612?

Answer: LCM of 5608 and 5612 is 7868024.

2. What are the Factors of 5608?

Answer: Factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608. There are 8 integers that are factors of 5608. The greatest factor of 5608 is 5608.

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 5608 and 5612?

Answer:

Least Common Multiple of 5608 and 5612 = 7868024

Step 1: Find the prime factorization of 5608

5608 = 2 x 2 x 2 x 701

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 = 7868024 = 2 x 2 x 2 x 23 x 61 x 701

Step 4: Therefore, the least common multiple of 5608 and 5612 is 7868024.