Least Common Multiple of 9645 and 9647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9645 and 9647 the smallest integer that is 93045315 that is divisible by both numbers.

Least Common Multiple (LCM) of 9645 and 9647 is 93045315.

LCM(9645,9647) = 93045315

LCM of 9645 and 9647

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

LCM of:
and

Least Common Multiple of 9645 and 9647

LCM of 9645 and 9647 is 93045315

Least common multiple can be found by multiplying the highest exponent prime factors of 9645 and 9647. First we will calculate the prime factors of 9645 and 9647.

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

Prime Factorization of 9647


11 9647
877 877
1

Prime factors of 9647 are 11,877. Prime factorization of 9647 in exponential form is:

9647 = 111×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 9645 and 9647.

LCM(9645,9647) = 31×51×111×6431×8771
LCM(9645,9647) = 93045315

Factors of 9645

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

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

Factors of 9647

List of positive integer factors of 9647 that divides 9647 without a remainder.

1, 11, 877, 9647

Least Common Multiple of 9645 and 9647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9645 and 9647, than apply into the LCM equation.

GCF(9645,9647) = 1
LCM(9645,9647) = ( 9645 × 9647) / 1
LCM(9645,9647) = 93045315 / 1
LCM(9645,9647) = 93045315

Properties of LCM 9645 and 9647

(i) The LCM of 9647 and 9645 is associative

LCM of 9645 and 9647 = LCM of 9647 and 9645

Related Least Common Multiples of 9645

Related Least Common Multiples of 9647

Frequently Asked Questions on LCM of 9645 and 9647

1. What is the LCM of 9645 and 9647?

Answer: LCM of 9645 and 9647 is 93045315.

2. 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.

3. What are the Factors of 9647?

Answer: Factors of 9647 are 1, 11, 877, 9647. There are 4 integers that are factors of 9647. The greatest factor of 9647 is 9647.

4. How to Find the LCM of 9645 and 9647?

Answer:

Least Common Multiple of 9645 and 9647 = 93045315

Step 1: Find the prime factorization of 9645

9645 = 3 x 5 x 643

Step 2: Find the prime factorization of 9647

9647 = 11 x 877

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

LCM = 93045315 = 3 x 5 x 11 x 643 x 877

Step 4: Therefore, the least common multiple of 9645 and 9647 is 93045315.