Least Common Multiple of 5612 and 5614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5612 and 5614 the smallest integer that is 15752884 that is divisible by both numbers.

Least Common Multiple (LCM) of 5612 and 5614 is 15752884.

LCM(5612,5614) = 15752884

LCM of 5612 and 5614

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

LCM of:
and

Least Common Multiple of 5612 and 5614

LCM of 5612 and 5614 is 15752884

Least common multiple can be found by multiplying the highest exponent prime factors of 5612 and 5614. First we will calculate the prime factors of 5612 and 5614.

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

Prime Factorization of 5614


2 5614
7 2807
401 401
1

Prime factors of 5614 are 2, 7,401. Prime factorization of 5614 in exponential form is:

5614 = 21×71×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 5612 and 5614.

LCM(5612,5614) = 22×71×231×611×4011
LCM(5612,5614) = 15752884

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

Factors of 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1, 2, 7, 14, 401, 802, 2807, 5614

Least Common Multiple of 5612 and 5614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5612 and 5614, than apply into the LCM equation.

GCF(5612,5614) = 2
LCM(5612,5614) = ( 5612 × 5614) / 2
LCM(5612,5614) = 31505768 / 2
LCM(5612,5614) = 15752884

Properties of LCM 5612 and 5614

(i) The LCM of 5614 and 5612 is associative

LCM of 5612 and 5614 = LCM of 5614 and 5612

Related Least Common Multiples of 5612

Related Least Common Multiples of 5614

Frequently Asked Questions on LCM of 5612 and 5614

1. What is the LCM of 5612 and 5614?

Answer: LCM of 5612 and 5614 is 15752884.

2. 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.

3. What are the Factors of 5614?

Answer: Factors of 5614 are 1, 2, 7, 14, 401, 802, 2807, 5614. There are 8 integers that are factors of 5614. The greatest factor of 5614 is 5614.

4. How to Find the LCM of 5612 and 5614?

Answer:

Least Common Multiple of 5612 and 5614 = 15752884

Step 1: Find the prime factorization of 5612

5612 = 2 x 2 x 23 x 61

Step 2: Find the prime factorization of 5614

5614 = 2 x 7 x 401

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

LCM = 15752884 = 2 x 2 x 7 x 23 x 61 x 401

Step 4: Therefore, the least common multiple of 5612 and 5614 is 15752884.