Least Common Multiple of 5612 and 5620

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 5620 the smallest integer that is 7884860 that is divisible by both numbers.

Least Common Multiple (LCM) of 5612 and 5620 is 7884860.

LCM(5612,5620) = 7884860

LCM of 5612 and 5620

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

LCM of:
and

Least Common Multiple of 5612 and 5620

LCM of 5612 and 5620 is 7884860

Least common multiple can be found by multiplying the highest exponent prime factors of 5612 and 5620. First we will calculate the prime factors of 5612 and 5620.

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 5620


2 5620
2 2810
5 1405
281 281
1

Prime factors of 5620 are 2, 5,281. Prime factorization of 5620 in exponential form is:

5620 = 22×51×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 5612 and 5620.

LCM(5612,5620) = 22×51×231×611×2811
LCM(5612,5620) = 7884860

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 5620

List of positive integer factors of 5620 that divides 5620 without a remainder.

1, 2, 4, 5, 10, 20, 281, 562, 1124, 1405, 2810, 5620

Least Common Multiple of 5612 and 5620 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 5620, than apply into the LCM equation.

GCF(5612,5620) = 4
LCM(5612,5620) = ( 5612 × 5620) / 4
LCM(5612,5620) = 31539440 / 4
LCM(5612,5620) = 7884860

Properties of LCM 5612 and 5620

(i) The LCM of 5620 and 5612 is associative

LCM of 5612 and 5620 = LCM of 5620 and 5612

Related Least Common Multiples of 5612

Related Least Common Multiples of 5620

Frequently Asked Questions on LCM of 5612 and 5620

1. What is the LCM of 5612 and 5620?

Answer: LCM of 5612 and 5620 is 7884860.

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 5620?

Answer: Factors of 5620 are 1, 2, 4, 5, 10, 20, 281, 562, 1124, 1405, 2810, 5620. There are 12 integers that are factors of 5620. The greatest factor of 5620 is 5620.

4. How to Find the LCM of 5612 and 5620?

Answer:

Least Common Multiple of 5612 and 5620 = 7884860

Step 1: Find the prime factorization of 5612

5612 = 2 x 2 x 23 x 61

Step 2: Find the prime factorization of 5620

5620 = 2 x 2 x 5 x 281

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

LCM = 7884860 = 2 x 2 x 5 x 23 x 61 x 281

Step 4: Therefore, the least common multiple of 5612 and 5620 is 7884860.