Least Common Multiple of 9624 and 9630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9624 and 9630 the smallest integer that is 15446520 that is divisible by both numbers.

Least Common Multiple (LCM) of 9624 and 9630 is 15446520.

LCM(9624,9630) = 15446520

LCM of 9624 and 9630

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

LCM of:
and

Least Common Multiple of 9624 and 9630

LCM of 9624 and 9630 is 15446520

Least common multiple can be found by multiplying the highest exponent prime factors of 9624 and 9630. First we will calculate the prime factors of 9624 and 9630.

Prime Factorization of 9624


2 9624
2 4812
2 2406
3 1203
401 401
1

Prime factors of 9624 are 2, 3,401. Prime factorization of 9624 in exponential form is:

9624 = 23×31×4011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9624 and 9630.

LCM(9624,9630) = 23×32×51×1071×4011
LCM(9624,9630) = 15446520

Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624

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

Least Common Multiple of 9624 and 9630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9624 and 9630, than apply into the LCM equation.

GCF(9624,9630) = 6
LCM(9624,9630) = ( 9624 × 9630) / 6
LCM(9624,9630) = 92679120 / 6
LCM(9624,9630) = 15446520

Properties of LCM 9624 and 9630

(i) The LCM of 9630 and 9624 is associative

LCM of 9624 and 9630 = LCM of 9630 and 9624

Related Least Common Multiples of 9624

Related Least Common Multiples of 9630

Frequently Asked Questions on LCM of 9624 and 9630

1. What is the LCM of 9624 and 9630?

Answer: LCM of 9624 and 9630 is 15446520.

2. What are the Factors of 9624?

Answer: Factors of 9624 are 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624. There are 16 integers that are factors of 9624. The greatest factor of 9624 is 9624.

3. 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.

4. How to Find the LCM of 9624 and 9630?

Answer:

Least Common Multiple of 9624 and 9630 = 15446520

Step 1: Find the prime factorization of 9624

9624 = 2 x 2 x 2 x 3 x 401

Step 2: Find the prime factorization of 9630

9630 = 2 x 3 x 3 x 5 x 107

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

LCM = 15446520 = 2 x 2 x 2 x 3 x 3 x 5 x 107 x 401

Step 4: Therefore, the least common multiple of 9624 and 9630 is 15446520.