Least Common Multiple of 9630 and 9636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9630 and 9636 the smallest integer that is 15465780 that is divisible by both numbers.

Least Common Multiple (LCM) of 9630 and 9636 is 15465780.

LCM(9630,9636) = 15465780

LCM of 9630 and 9636

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

LCM of:
and

Least Common Multiple of 9630 and 9636

LCM of 9630 and 9636 is 15465780

Least common multiple can be found by multiplying the highest exponent prime factors of 9630 and 9636. First we will calculate the prime factors of 9630 and 9636.

Prime Factorization of 9630


2 9630
3 4815
3 1605
5 535
107 107
1

Prime factors of 9630 are 2, 3, 5,107. Prime factorization of 9630 in exponential form is:

9630 = 21×32×51×1071

Prime Factorization of 9636


2 9636
2 4818
3 2409
11 803
73 73
1

Prime factors of 9636 are 2, 3, 11,73. Prime factorization of 9636 in exponential form is:

9636 = 22×31×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9630 and 9636.

LCM(9630,9636) = 22×32×51×111×731×1071
LCM(9630,9636) = 15465780

Factors of 9630

List of positive integer factors of 9630 that divides 9630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630

Factors of 9636

List of positive integer factors of 9636 that divides 9636 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636

Least Common Multiple of 9630 and 9636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9630 and 9636, than apply into the LCM equation.

GCF(9630,9636) = 6
LCM(9630,9636) = ( 9630 × 9636) / 6
LCM(9630,9636) = 92794680 / 6
LCM(9630,9636) = 15465780

Properties of LCM 9630 and 9636

(i) The LCM of 9636 and 9630 is associative

LCM of 9630 and 9636 = LCM of 9636 and 9630

Related Least Common Multiples of 9630

Related Least Common Multiples of 9636

Frequently Asked Questions on LCM of 9630 and 9636

1. What is the LCM of 9630 and 9636?

Answer: LCM of 9630 and 9636 is 15465780.

2. What are the Factors of 9630?

Answer: Factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630. There are 24 integers that are factors of 9630. The greatest factor of 9630 is 9630.

3. What are the Factors of 9636?

Answer: Factors of 9636 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 73, 132, 146, 219, 292, 438, 803, 876, 1606, 2409, 3212, 4818, 9636. There are 24 integers that are factors of 9636. The greatest factor of 9636 is 9636.

4. How to Find the LCM of 9630 and 9636?

Answer:

Least Common Multiple of 9630 and 9636 = 15465780

Step 1: Find the prime factorization of 9630

9630 = 2 x 3 x 3 x 5 x 107

Step 2: Find the prime factorization of 9636

9636 = 2 x 2 x 3 x 11 x 73

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

LCM = 15465780 = 2 x 2 x 3 x 3 x 5 x 11 x 73 x 107

Step 4: Therefore, the least common multiple of 9630 and 9636 is 15465780.