Least Common Multiple of 5518 and 5519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5518 and 5519 the smallest integer that is 30453842 that is divisible by both numbers.

Least Common Multiple (LCM) of 5518 and 5519 is 30453842.

LCM(5518,5519) = 30453842

LCM of 5518 and 5519

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

LCM of:
and

Least Common Multiple of 5518 and 5519

LCM of 5518 and 5519 is 30453842

Least common multiple can be found by multiplying the highest exponent prime factors of 5518 and 5519. First we will calculate the prime factors of 5518 and 5519.

Prime Factorization of 5518


2 5518
31 2759
89 89
1

Prime factors of 5518 are 2, 31,89. Prime factorization of 5518 in exponential form is:

5518 = 21×311×891

Prime Factorization of 5519


5519 5519
1

Prime factors of 5519 are 5519. Prime factorization of 5519 in exponential form is:

5519 = 55191

Now multiplying the highest exponent prime factors to calculate the LCM of 5518 and 5519.

LCM(5518,5519) = 21×311×891×55191
LCM(5518,5519) = 30453842

Factors of 5518

List of positive integer factors of 5518 that divides 5518 without a remainder.

1, 2, 31, 62, 89, 178, 2759, 5518

Factors of 5519

List of positive integer factors of 5519 that divides 5519 without a remainder.

1, 5519

Least Common Multiple of 5518 and 5519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5518 and 5519, than apply into the LCM equation.

GCF(5518,5519) = 1
LCM(5518,5519) = ( 5518 × 5519) / 1
LCM(5518,5519) = 30453842 / 1
LCM(5518,5519) = 30453842

Properties of LCM 5518 and 5519

(i) The LCM of 5519 and 5518 is associative

LCM of 5518 and 5519 = LCM of 5519 and 5518

Related Least Common Multiples of 5518

Related Least Common Multiples of 5519

Frequently Asked Questions on LCM of 5518 and 5519

1. What is the LCM of 5518 and 5519?

Answer: LCM of 5518 and 5519 is 30453842.

2. What are the Factors of 5518?

Answer: Factors of 5518 are 1, 2, 31, 62, 89, 178, 2759, 5518. There are 8 integers that are factors of 5518. The greatest factor of 5518 is 5518.

3. What are the Factors of 5519?

Answer: Factors of 5519 are 1, 5519. There are 2 integers that are factors of 5519. The greatest factor of 5519 is 5519.

4. How to Find the LCM of 5518 and 5519?

Answer:

Least Common Multiple of 5518 and 5519 = 30453842

Step 1: Find the prime factorization of 5518

5518 = 2 x 31 x 89

Step 2: Find the prime factorization of 5519

5519 = 5519

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

LCM = 30453842 = 2 x 31 x 89 x 5519

Step 4: Therefore, the least common multiple of 5518 and 5519 is 30453842.