Least Common Multiple of 9612 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 9612 and 9620 the smallest integer that is 23116860 that is divisible by both numbers.

Least Common Multiple (LCM) of 9612 and 9620 is 23116860.

LCM(9612,9620) = 23116860

LCM of 9612 and 9620

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

LCM of:
and

Least Common Multiple of 9612 and 9620

LCM of 9612 and 9620 is 23116860

Least common multiple can be found by multiplying the highest exponent prime factors of 9612 and 9620. First we will calculate the prime factors of 9612 and 9620.

Prime Factorization of 9612


2 9612
2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 9612 are 2, 3,89. Prime factorization of 9612 in exponential form is:

9612 = 22×33×891

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 9612 and 9620.

LCM(9612,9620) = 22×33×51×131×371×891
LCM(9612,9620) = 23116860

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612

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 9612 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 9612 and 9620, than apply into the LCM equation.

GCF(9612,9620) = 4
LCM(9612,9620) = ( 9612 × 9620) / 4
LCM(9612,9620) = 92467440 / 4
LCM(9612,9620) = 23116860

Properties of LCM 9612 and 9620

(i) The LCM of 9620 and 9612 is associative

LCM of 9612 and 9620 = LCM of 9620 and 9612

Related Least Common Multiples of 9612

Related Least Common Multiples of 9620

Frequently Asked Questions on LCM of 9612 and 9620

1. What is the LCM of 9612 and 9620?

Answer: LCM of 9612 and 9620 is 23116860.

2. What are the Factors of 9612?

Answer: Factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612. There are 24 integers that are factors of 9612. The greatest factor of 9612 is 9612.

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 9612 and 9620?

Answer:

Least Common Multiple of 9612 and 9620 = 23116860

Step 1: Find the prime factorization of 9612

9612 = 2 x 2 x 3 x 3 x 3 x 89

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 = 23116860 = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 37 x 89

Step 4: Therefore, the least common multiple of 9612 and 9620 is 23116860.