Least Common Multiple of 9614 and 9621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9614 and 9621 the smallest integer that is 92496294 that is divisible by both numbers.

Least Common Multiple (LCM) of 9614 and 9621 is 92496294.

LCM(9614,9621) = 92496294

LCM of 9614 and 9621

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

LCM of:
and

Least Common Multiple of 9614 and 9621

LCM of 9614 and 9621 is 92496294

Least common multiple can be found by multiplying the highest exponent prime factors of 9614 and 9621. First we will calculate the prime factors of 9614 and 9621.

Prime Factorization of 9614


2 9614
11 4807
19 437
23 23
1

Prime factors of 9614 are 2, 11, 19,23. Prime factorization of 9614 in exponential form is:

9614 = 21×111×191×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9614 and 9621.

LCM(9614,9621) = 21×32×111×191×231×10691
LCM(9614,9621) = 92496294

Factors of 9614

List of positive integer factors of 9614 that divides 9614 without a remainder.

1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614

Factors of 9621

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

1, 3, 9, 1069, 3207, 9621

Least Common Multiple of 9614 and 9621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9614 and 9621, than apply into the LCM equation.

GCF(9614,9621) = 1
LCM(9614,9621) = ( 9614 × 9621) / 1
LCM(9614,9621) = 92496294 / 1
LCM(9614,9621) = 92496294

Properties of LCM 9614 and 9621

(i) The LCM of 9621 and 9614 is associative

LCM of 9614 and 9621 = LCM of 9621 and 9614

Related Least Common Multiples of 9614

Related Least Common Multiples of 9621

Frequently Asked Questions on LCM of 9614 and 9621

1. What is the LCM of 9614 and 9621?

Answer: LCM of 9614 and 9621 is 92496294.

2. What are the Factors of 9614?

Answer: Factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614. There are 16 integers that are factors of 9614. The greatest factor of 9614 is 9614.

3. 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.

4. How to Find the LCM of 9614 and 9621?

Answer:

Least Common Multiple of 9614 and 9621 = 92496294

Step 1: Find the prime factorization of 9614

9614 = 2 x 11 x 19 x 23

Step 2: Find the prime factorization of 9621

9621 = 3 x 3 x 1069

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

LCM = 92496294 = 2 x 3 x 3 x 11 x 19 x 23 x 1069

Step 4: Therefore, the least common multiple of 9614 and 9621 is 92496294.