Least Common Multiple of 9644 and 9651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9644 and 9651 the smallest integer that is 93074244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9644 and 9651 is 93074244.

LCM(9644,9651) = 93074244

LCM of 9644 and 9651

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

LCM of:
and

Least Common Multiple of 9644 and 9651

LCM of 9644 and 9651 is 93074244

Least common multiple can be found by multiplying the highest exponent prime factors of 9644 and 9651. First we will calculate the prime factors of 9644 and 9651.

Prime Factorization of 9644


2 9644
2 4822
2411 2411
1

Prime factors of 9644 are 2,2411. Prime factorization of 9644 in exponential form is:

9644 = 22×24111

Prime Factorization of 9651


3 9651
3217 3217
1

Prime factors of 9651 are 3,3217. Prime factorization of 9651 in exponential form is:

9651 = 31×32171

Now multiplying the highest exponent prime factors to calculate the LCM of 9644 and 9651.

LCM(9644,9651) = 22×31×24111×32171
LCM(9644,9651) = 93074244

Factors of 9644

List of positive integer factors of 9644 that divides 9644 without a remainder.

1, 2, 4, 2411, 4822, 9644

Factors of 9651

List of positive integer factors of 9651 that divides 9651 without a remainder.

1, 3, 3217, 9651

Least Common Multiple of 9644 and 9651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9644 and 9651, than apply into the LCM equation.

GCF(9644,9651) = 1
LCM(9644,9651) = ( 9644 × 9651) / 1
LCM(9644,9651) = 93074244 / 1
LCM(9644,9651) = 93074244

Properties of LCM 9644 and 9651

(i) The LCM of 9651 and 9644 is associative

LCM of 9644 and 9651 = LCM of 9651 and 9644

Related Least Common Multiples of 9644

Related Least Common Multiples of 9651

Frequently Asked Questions on LCM of 9644 and 9651

1. What is the LCM of 9644 and 9651?

Answer: LCM of 9644 and 9651 is 93074244.

2. What are the Factors of 9644?

Answer: Factors of 9644 are 1, 2, 4, 2411, 4822, 9644. There are 6 integers that are factors of 9644. The greatest factor of 9644 is 9644.

3. What are the Factors of 9651?

Answer: Factors of 9651 are 1, 3, 3217, 9651. There are 4 integers that are factors of 9651. The greatest factor of 9651 is 9651.

4. How to Find the LCM of 9644 and 9651?

Answer:

Least Common Multiple of 9644 and 9651 = 93074244

Step 1: Find the prime factorization of 9644

9644 = 2 x 2 x 2411

Step 2: Find the prime factorization of 9651

9651 = 3 x 3217

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

LCM = 93074244 = 2 x 2 x 3 x 2411 x 3217

Step 4: Therefore, the least common multiple of 9644 and 9651 is 93074244.