Least Common Multiple of 9510 and 9518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9510 and 9518 the smallest integer that is 45258090 that is divisible by both numbers.

Least Common Multiple (LCM) of 9510 and 9518 is 45258090.

LCM(9510,9518) = 45258090

LCM of 9510 and 9518

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

LCM of:
and

Least Common Multiple of 9510 and 9518

LCM of 9510 and 9518 is 45258090

Least common multiple can be found by multiplying the highest exponent prime factors of 9510 and 9518. First we will calculate the prime factors of 9510 and 9518.

Prime Factorization of 9510


2 9510
3 4755
5 1585
317 317
1

Prime factors of 9510 are 2, 3, 5,317. Prime factorization of 9510 in exponential form is:

9510 = 21×31×51×3171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9510 and 9518.

LCM(9510,9518) = 21×31×51×3171×47591
LCM(9510,9518) = 45258090

Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510

Factors of 9518

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

1, 2, 4759, 9518

Least Common Multiple of 9510 and 9518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9510 and 9518, than apply into the LCM equation.

GCF(9510,9518) = 2
LCM(9510,9518) = ( 9510 × 9518) / 2
LCM(9510,9518) = 90516180 / 2
LCM(9510,9518) = 45258090

Properties of LCM 9510 and 9518

(i) The LCM of 9518 and 9510 is associative

LCM of 9510 and 9518 = LCM of 9518 and 9510

Related Least Common Multiples of 9510

Related Least Common Multiples of 9518

Frequently Asked Questions on LCM of 9510 and 9518

1. What is the LCM of 9510 and 9518?

Answer: LCM of 9510 and 9518 is 45258090.

2. What are the Factors of 9510?

Answer: Factors of 9510 are 1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755, 9510. There are 16 integers that are factors of 9510. The greatest factor of 9510 is 9510.

3. 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.

4. How to Find the LCM of 9510 and 9518?

Answer:

Least Common Multiple of 9510 and 9518 = 45258090

Step 1: Find the prime factorization of 9510

9510 = 2 x 3 x 5 x 317

Step 2: Find the prime factorization of 9518

9518 = 2 x 4759

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

LCM = 45258090 = 2 x 3 x 5 x 317 x 4759

Step 4: Therefore, the least common multiple of 9510 and 9518 is 45258090.