Least Common Multiple of 9518 and 9522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9518 and 9522 the smallest integer that is 45315198 that is divisible by both numbers.

Least Common Multiple (LCM) of 9518 and 9522 is 45315198.

LCM(9518,9522) = 45315198

LCM of 9518 and 9522

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

LCM of:
and

Least Common Multiple of 9518 and 9522

LCM of 9518 and 9522 is 45315198

Least common multiple can be found by multiplying the highest exponent prime factors of 9518 and 9522. First we will calculate the prime factors of 9518 and 9522.

Prime Factorization of 9518


2 9518
4759 4759
1

Prime factors of 9518 are 2,4759. Prime factorization of 9518 in exponential form is:

9518 = 21×47591

Prime Factorization of 9522


2 9522
3 4761
3 1587
23 529
23 23
1

Prime factors of 9522 are 2, 3,23. Prime factorization of 9522 in exponential form is:

9522 = 21×32×232

Now multiplying the highest exponent prime factors to calculate the LCM of 9518 and 9522.

LCM(9518,9522) = 21×32×232×47591
LCM(9518,9522) = 45315198

Factors of 9518

List of positive integer factors of 9518 that divides 9518 without a remainder.

1, 2, 4759, 9518

Factors of 9522

List of positive integer factors of 9522 that divides 9522 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522

Least Common Multiple of 9518 and 9522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9518 and 9522, than apply into the LCM equation.

GCF(9518,9522) = 2
LCM(9518,9522) = ( 9518 × 9522) / 2
LCM(9518,9522) = 90630396 / 2
LCM(9518,9522) = 45315198

Properties of LCM 9518 and 9522

(i) The LCM of 9522 and 9518 is associative

LCM of 9518 and 9522 = LCM of 9522 and 9518

Related Least Common Multiples of 9518

Related Least Common Multiples of 9522

Frequently Asked Questions on LCM of 9518 and 9522

1. What is the LCM of 9518 and 9522?

Answer: LCM of 9518 and 9522 is 45315198.

2. What are the Factors of 9518?

Answer: Factors of 9518 are 1, 2, 4759, 9518. There are 4 integers that are factors of 9518. The greatest factor of 9518 is 9518.

3. What are the Factors of 9522?

Answer: Factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522. There are 18 integers that are factors of 9522. The greatest factor of 9522 is 9522.

4. How to Find the LCM of 9518 and 9522?

Answer:

Least Common Multiple of 9518 and 9522 = 45315198

Step 1: Find the prime factorization of 9518

9518 = 2 x 4759

Step 2: Find the prime factorization of 9522

9522 = 2 x 3 x 3 x 23 x 23

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

LCM = 45315198 = 2 x 3 x 3 x 23 x 23 x 4759

Step 4: Therefore, the least common multiple of 9518 and 9522 is 45315198.