Least Common Multiple of 9619 and 9624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9619 and 9624 the smallest integer that is 92573256 that is divisible by both numbers.

Least Common Multiple (LCM) of 9619 and 9624 is 92573256.

LCM(9619,9624) = 92573256

LCM of 9619 and 9624

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

LCM of:
and

Least Common Multiple of 9619 and 9624

LCM of 9619 and 9624 is 92573256

Least common multiple can be found by multiplying the highest exponent prime factors of 9619 and 9624. First we will calculate the prime factors of 9619 and 9624.

Prime Factorization of 9619


9619 9619
1

Prime factors of 9619 are 9619. Prime factorization of 9619 in exponential form is:

9619 = 96191

Prime Factorization of 9624


2 9624
2 4812
2 2406
3 1203
401 401
1

Prime factors of 9624 are 2, 3,401. Prime factorization of 9624 in exponential form is:

9624 = 23×31×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 9619 and 9624.

LCM(9619,9624) = 23×31×4011×96191
LCM(9619,9624) = 92573256

Factors of 9619

List of positive integer factors of 9619 that divides 9619 without a remainder.

1, 9619

Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624

Least Common Multiple of 9619 and 9624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9619 and 9624, than apply into the LCM equation.

GCF(9619,9624) = 1
LCM(9619,9624) = ( 9619 × 9624) / 1
LCM(9619,9624) = 92573256 / 1
LCM(9619,9624) = 92573256

Properties of LCM 9619 and 9624

(i) The LCM of 9624 and 9619 is associative

LCM of 9619 and 9624 = LCM of 9624 and 9619

Related Least Common Multiples of 9619

Related Least Common Multiples of 9624

Frequently Asked Questions on LCM of 9619 and 9624

1. What is the LCM of 9619 and 9624?

Answer: LCM of 9619 and 9624 is 92573256.

2. What are the Factors of 9619?

Answer: Factors of 9619 are 1, 9619. There are 2 integers that are factors of 9619. The greatest factor of 9619 is 9619.

3. What are the Factors of 9624?

Answer: Factors of 9624 are 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624. There are 16 integers that are factors of 9624. The greatest factor of 9624 is 9624.

4. How to Find the LCM of 9619 and 9624?

Answer:

Least Common Multiple of 9619 and 9624 = 92573256

Step 1: Find the prime factorization of 9619

9619 = 9619

Step 2: Find the prime factorization of 9624

9624 = 2 x 2 x 2 x 3 x 401

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

LCM = 92573256 = 2 x 2 x 2 x 3 x 401 x 9619

Step 4: Therefore, the least common multiple of 9619 and 9624 is 92573256.