Least Common Multiple of 9621 and 9628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9621 and 9628 the smallest integer that is 92630988 that is divisible by both numbers.

Least Common Multiple (LCM) of 9621 and 9628 is 92630988.

LCM(9621,9628) = 92630988

LCM of 9621 and 9628

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

LCM of:
and

Least Common Multiple of 9621 and 9628

LCM of 9621 and 9628 is 92630988

Least common multiple can be found by multiplying the highest exponent prime factors of 9621 and 9628. First we will calculate the prime factors of 9621 and 9628.

Prime Factorization of 9621


3 9621
3 3207
1069 1069
1

Prime factors of 9621 are 3,1069. Prime factorization of 9621 in exponential form is:

9621 = 32×10691

Prime Factorization of 9628


2 9628
2 4814
29 2407
83 83
1

Prime factors of 9628 are 2, 29,83. Prime factorization of 9628 in exponential form is:

9628 = 22×291×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9621 and 9628.

LCM(9621,9628) = 22×32×291×831×10691
LCM(9621,9628) = 92630988

Factors of 9621

List of positive integer factors of 9621 that divides 9621 without a remainder.

1, 3, 9, 1069, 3207, 9621

Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628

Least Common Multiple of 9621 and 9628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9621 and 9628, than apply into the LCM equation.

GCF(9621,9628) = 1
LCM(9621,9628) = ( 9621 × 9628) / 1
LCM(9621,9628) = 92630988 / 1
LCM(9621,9628) = 92630988

Properties of LCM 9621 and 9628

(i) The LCM of 9628 and 9621 is associative

LCM of 9621 and 9628 = LCM of 9628 and 9621

Related Least Common Multiples of 9621

Related Least Common Multiples of 9628

Frequently Asked Questions on LCM of 9621 and 9628

1. What is the LCM of 9621 and 9628?

Answer: LCM of 9621 and 9628 is 92630988.

2. What are the Factors of 9621?

Answer: Factors of 9621 are 1, 3, 9, 1069, 3207, 9621. There are 6 integers that are factors of 9621. The greatest factor of 9621 is 9621.

3. What are the Factors of 9628?

Answer: Factors of 9628 are 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628. There are 12 integers that are factors of 9628. The greatest factor of 9628 is 9628.

4. How to Find the LCM of 9621 and 9628?

Answer:

Least Common Multiple of 9621 and 9628 = 92630988

Step 1: Find the prime factorization of 9621

9621 = 3 x 3 x 1069

Step 2: Find the prime factorization of 9628

9628 = 2 x 2 x 29 x 83

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

LCM = 92630988 = 2 x 2 x 3 x 3 x 29 x 83 x 1069

Step 4: Therefore, the least common multiple of 9621 and 9628 is 92630988.