Least Common Multiple of 9629 and 9637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9629 and 9637 the smallest integer that is 92794673 that is divisible by both numbers.

Least Common Multiple (LCM) of 9629 and 9637 is 92794673.

LCM(9629,9637) = 92794673

LCM of 9629 and 9637

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

LCM of:
and

Least Common Multiple of 9629 and 9637

LCM of 9629 and 9637 is 92794673

Least common multiple can be found by multiplying the highest exponent prime factors of 9629 and 9637. First we will calculate the prime factors of 9629 and 9637.

Prime Factorization of 9629


9629 9629
1

Prime factors of 9629 are 9629. Prime factorization of 9629 in exponential form is:

9629 = 96291

Prime Factorization of 9637


23 9637
419 419
1

Prime factors of 9637 are 23,419. Prime factorization of 9637 in exponential form is:

9637 = 231×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 9629 and 9637.

LCM(9629,9637) = 231×4191×96291
LCM(9629,9637) = 92794673

Factors of 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1, 9629

Factors of 9637

List of positive integer factors of 9637 that divides 9637 without a remainder.

1, 23, 419, 9637

Least Common Multiple of 9629 and 9637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9629 and 9637, than apply into the LCM equation.

GCF(9629,9637) = 1
LCM(9629,9637) = ( 9629 × 9637) / 1
LCM(9629,9637) = 92794673 / 1
LCM(9629,9637) = 92794673

Properties of LCM 9629 and 9637

(i) The LCM of 9637 and 9629 is associative

LCM of 9629 and 9637 = LCM of 9637 and 9629

Related Least Common Multiples of 9629

Related Least Common Multiples of 9637

Frequently Asked Questions on LCM of 9629 and 9637

1. What is the LCM of 9629 and 9637?

Answer: LCM of 9629 and 9637 is 92794673.

2. What are the Factors of 9629?

Answer: Factors of 9629 are 1, 9629. There are 2 integers that are factors of 9629. The greatest factor of 9629 is 9629.

3. What are the Factors of 9637?

Answer: Factors of 9637 are 1, 23, 419, 9637. There are 4 integers that are factors of 9637. The greatest factor of 9637 is 9637.

4. How to Find the LCM of 9629 and 9637?

Answer:

Least Common Multiple of 9629 and 9637 = 92794673

Step 1: Find the prime factorization of 9629

9629 = 9629

Step 2: Find the prime factorization of 9637

9637 = 23 x 419

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

LCM = 92794673 = 23 x 419 x 9629

Step 4: Therefore, the least common multiple of 9629 and 9637 is 92794673.