Least Common Multiple of 5612 and 5617

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 5617 the smallest integer that is 31522604 that is divisible by both numbers.

Least Common Multiple (LCM) of 5612 and 5617 is 31522604.

LCM(5612,5617) = 31522604

LCM of 5612 and 5617

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

LCM of:
and

Least Common Multiple of 5612 and 5617

LCM of 5612 and 5617 is 31522604

Least common multiple can be found by multiplying the highest exponent prime factors of 5612 and 5617. First we will calculate the prime factors of 5612 and 5617.

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 5617


41 5617
137 137
1

Prime factors of 5617 are 41,137. Prime factorization of 5617 in exponential form is:

5617 = 411×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5612 and 5617.

LCM(5612,5617) = 22×231×411×611×1371
LCM(5612,5617) = 31522604

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 5617

List of positive integer factors of 5617 that divides 5617 without a remainder.

1, 41, 137, 5617

Least Common Multiple of 5612 and 5617 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 5617, than apply into the LCM equation.

GCF(5612,5617) = 1
LCM(5612,5617) = ( 5612 × 5617) / 1
LCM(5612,5617) = 31522604 / 1
LCM(5612,5617) = 31522604

Properties of LCM 5612 and 5617

(i) The LCM of 5617 and 5612 is associative

LCM of 5612 and 5617 = LCM of 5617 and 5612

Related Least Common Multiples of 5612

Related Least Common Multiples of 5617

Frequently Asked Questions on LCM of 5612 and 5617

1. What is the LCM of 5612 and 5617?

Answer: LCM of 5612 and 5617 is 31522604.

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 5617?

Answer: Factors of 5617 are 1, 41, 137, 5617. There are 4 integers that are factors of 5617. The greatest factor of 5617 is 5617.

4. How to Find the LCM of 5612 and 5617?

Answer:

Least Common Multiple of 5612 and 5617 = 31522604

Step 1: Find the prime factorization of 5612

5612 = 2 x 2 x 23 x 61

Step 2: Find the prime factorization of 5617

5617 = 41 x 137

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

LCM = 31522604 = 2 x 2 x 23 x 41 x 61 x 137

Step 4: Therefore, the least common multiple of 5612 and 5617 is 31522604.