Least Common Multiple of 5612 and 5618

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 5618 the smallest integer that is 15764108 that is divisible by both numbers.

Least Common Multiple (LCM) of 5612 and 5618 is 15764108.

LCM(5612,5618) = 15764108

LCM of 5612 and 5618

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

LCM of:
and

Least Common Multiple of 5612 and 5618

LCM of 5612 and 5618 is 15764108

Least common multiple can be found by multiplying the highest exponent prime factors of 5612 and 5618. First we will calculate the prime factors of 5612 and 5618.

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 5618


2 5618
53 2809
53 53
1

Prime factors of 5618 are 2,53. Prime factorization of 5618 in exponential form is:

5618 = 21×532

Now multiplying the highest exponent prime factors to calculate the LCM of 5612 and 5618.

LCM(5612,5618) = 22×231×532×611
LCM(5612,5618) = 15764108

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 5618

List of positive integer factors of 5618 that divides 5618 without a remainder.

1, 2, 53, 106, 2809, 5618

Least Common Multiple of 5612 and 5618 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 5618, than apply into the LCM equation.

GCF(5612,5618) = 2
LCM(5612,5618) = ( 5612 × 5618) / 2
LCM(5612,5618) = 31528216 / 2
LCM(5612,5618) = 15764108

Properties of LCM 5612 and 5618

(i) The LCM of 5618 and 5612 is associative

LCM of 5612 and 5618 = LCM of 5618 and 5612

Related Least Common Multiples of 5612

Related Least Common Multiples of 5618

Frequently Asked Questions on LCM of 5612 and 5618

1. What is the LCM of 5612 and 5618?

Answer: LCM of 5612 and 5618 is 15764108.

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 5618?

Answer: Factors of 5618 are 1, 2, 53, 106, 2809, 5618. There are 6 integers that are factors of 5618. The greatest factor of 5618 is 5618.

4. How to Find the LCM of 5612 and 5618?

Answer:

Least Common Multiple of 5612 and 5618 = 15764108

Step 1: Find the prime factorization of 5612

5612 = 2 x 2 x 23 x 61

Step 2: Find the prime factorization of 5618

5618 = 2 x 53 x 53

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

LCM = 15764108 = 2 x 2 x 23 x 53 x 53 x 61

Step 4: Therefore, the least common multiple of 5612 and 5618 is 15764108.