Least Common Multiple of 9510 and 9516

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 9516 the smallest integer that is 15082860 that is divisible by both numbers.

Least Common Multiple (LCM) of 9510 and 9516 is 15082860.

LCM(9510,9516) = 15082860

LCM of 9510 and 9516

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

LCM of:
and

Least Common Multiple of 9510 and 9516

LCM of 9510 and 9516 is 15082860

Least common multiple can be found by multiplying the highest exponent prime factors of 9510 and 9516. First we will calculate the prime factors of 9510 and 9516.

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 9516


2 9516
2 4758
3 2379
13 793
61 61
1

Prime factors of 9516 are 2, 3, 13,61. Prime factorization of 9516 in exponential form is:

9516 = 22×31×131×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9510 and 9516.

LCM(9510,9516) = 22×31×51×131×611×3171
LCM(9510,9516) = 15082860

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 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516

Least Common Multiple of 9510 and 9516 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 9516, than apply into the LCM equation.

GCF(9510,9516) = 6
LCM(9510,9516) = ( 9510 × 9516) / 6
LCM(9510,9516) = 90497160 / 6
LCM(9510,9516) = 15082860

Properties of LCM 9510 and 9516

(i) The LCM of 9516 and 9510 is associative

LCM of 9510 and 9516 = LCM of 9516 and 9510

Related Least Common Multiples of 9510

Related Least Common Multiples of 9516

Frequently Asked Questions on LCM of 9510 and 9516

1. What is the LCM of 9510 and 9516?

Answer: LCM of 9510 and 9516 is 15082860.

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 9516?

Answer: Factors of 9516 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516. There are 24 integers that are factors of 9516. The greatest factor of 9516 is 9516.

4. How to Find the LCM of 9510 and 9516?

Answer:

Least Common Multiple of 9510 and 9516 = 15082860

Step 1: Find the prime factorization of 9510

9510 = 2 x 3 x 5 x 317

Step 2: Find the prime factorization of 9516

9516 = 2 x 2 x 3 x 13 x 61

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

LCM = 15082860 = 2 x 2 x 3 x 5 x 13 x 61 x 317

Step 4: Therefore, the least common multiple of 9510 and 9516 is 15082860.