Least Common Multiple of 9638 and 9645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9638 and 9645 the smallest integer that is 92958510 that is divisible by both numbers.

Least Common Multiple (LCM) of 9638 and 9645 is 92958510.

LCM(9638,9645) = 92958510

LCM of 9638 and 9645

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

LCM of:
and

Least Common Multiple of 9638 and 9645

LCM of 9638 and 9645 is 92958510

Least common multiple can be found by multiplying the highest exponent prime factors of 9638 and 9645. First we will calculate the prime factors of 9638 and 9645.

Prime Factorization of 9638


2 9638
61 4819
79 79
1

Prime factors of 9638 are 2, 61,79. Prime factorization of 9638 in exponential form is:

9638 = 21×611×791

Prime Factorization of 9645


3 9645
5 3215
643 643
1

Prime factors of 9645 are 3, 5,643. Prime factorization of 9645 in exponential form is:

9645 = 31×51×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 9638 and 9645.

LCM(9638,9645) = 21×31×51×611×791×6431
LCM(9638,9645) = 92958510

Factors of 9638

List of positive integer factors of 9638 that divides 9638 without a remainder.

1, 2, 61, 79, 122, 158, 4819, 9638

Factors of 9645

List of positive integer factors of 9645 that divides 9645 without a remainder.

1, 3, 5, 15, 643, 1929, 3215, 9645

Least Common Multiple of 9638 and 9645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9638 and 9645, than apply into the LCM equation.

GCF(9638,9645) = 1
LCM(9638,9645) = ( 9638 × 9645) / 1
LCM(9638,9645) = 92958510 / 1
LCM(9638,9645) = 92958510

Properties of LCM 9638 and 9645

(i) The LCM of 9645 and 9638 is associative

LCM of 9638 and 9645 = LCM of 9645 and 9638

Related Least Common Multiples of 9638

Related Least Common Multiples of 9645

Frequently Asked Questions on LCM of 9638 and 9645

1. What is the LCM of 9638 and 9645?

Answer: LCM of 9638 and 9645 is 92958510.

2. What are the Factors of 9638?

Answer: Factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638. There are 8 integers that are factors of 9638. The greatest factor of 9638 is 9638.

3. What are the Factors of 9645?

Answer: Factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645. There are 8 integers that are factors of 9645. The greatest factor of 9645 is 9645.

4. How to Find the LCM of 9638 and 9645?

Answer:

Least Common Multiple of 9638 and 9645 = 92958510

Step 1: Find the prime factorization of 9638

9638 = 2 x 61 x 79

Step 2: Find the prime factorization of 9645

9645 = 3 x 5 x 643

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

LCM = 92958510 = 2 x 3 x 5 x 61 x 79 x 643

Step 4: Therefore, the least common multiple of 9638 and 9645 is 92958510.