Least Common Multiple of 9614 and 9620

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 9620 the smallest integer that is 46243340 that is divisible by both numbers.

Least Common Multiple (LCM) of 9614 and 9620 is 46243340.

LCM(9614,9620) = 46243340

LCM of 9614 and 9620

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

LCM of:
and

Least Common Multiple of 9614 and 9620

LCM of 9614 and 9620 is 46243340

Least common multiple can be found by multiplying the highest exponent prime factors of 9614 and 9620. First we will calculate the prime factors of 9614 and 9620.

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 9620


2 9620
2 4810
5 2405
13 481
37 37
1

Prime factors of 9620 are 2, 5, 13,37. Prime factorization of 9620 in exponential form is:

9620 = 22×51×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9614 and 9620.

LCM(9614,9620) = 22×51×111×131×191×231×371
LCM(9614,9620) = 46243340

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 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620

Least Common Multiple of 9614 and 9620 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 9620, than apply into the LCM equation.

GCF(9614,9620) = 2
LCM(9614,9620) = ( 9614 × 9620) / 2
LCM(9614,9620) = 92486680 / 2
LCM(9614,9620) = 46243340

Properties of LCM 9614 and 9620

(i) The LCM of 9620 and 9614 is associative

LCM of 9614 and 9620 = LCM of 9620 and 9614

Related Least Common Multiples of 9614

Related Least Common Multiples of 9620

Frequently Asked Questions on LCM of 9614 and 9620

1. What is the LCM of 9614 and 9620?

Answer: LCM of 9614 and 9620 is 46243340.

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 9620?

Answer: Factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620. There are 24 integers that are factors of 9620. The greatest factor of 9620 is 9620.

4. How to Find the LCM of 9614 and 9620?

Answer:

Least Common Multiple of 9614 and 9620 = 46243340

Step 1: Find the prime factorization of 9614

9614 = 2 x 11 x 19 x 23

Step 2: Find the prime factorization of 9620

9620 = 2 x 2 x 5 x 13 x 37

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

LCM = 46243340 = 2 x 2 x 5 x 11 x 13 x 19 x 23 x 37

Step 4: Therefore, the least common multiple of 9614 and 9620 is 46243340.