Least Common Multiple of 9639 and 9642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9639 and 9642 the smallest integer that is 30979746 that is divisible by both numbers.

Least Common Multiple (LCM) of 9639 and 9642 is 30979746.

LCM(9639,9642) = 30979746

LCM of 9639 and 9642

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

LCM of:
and

Least Common Multiple of 9639 and 9642

LCM of 9639 and 9642 is 30979746

Least common multiple can be found by multiplying the highest exponent prime factors of 9639 and 9642. First we will calculate the prime factors of 9639 and 9642.

Prime Factorization of 9639


3 9639
3 3213
3 1071
3 357
7 119
17 17
1

Prime factors of 9639 are 3, 7,17. Prime factorization of 9639 in exponential form is:

9639 = 34×71×171

Prime Factorization of 9642


2 9642
3 4821
1607 1607
1

Prime factors of 9642 are 2, 3,1607. Prime factorization of 9642 in exponential form is:

9642 = 21×31×16071

Now multiplying the highest exponent prime factors to calculate the LCM of 9639 and 9642.

LCM(9639,9642) = 21×34×71×171×16071
LCM(9639,9642) = 30979746

Factors of 9639

List of positive integer factors of 9639 that divides 9639 without a remainder.

1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1, 2, 3, 6, 1607, 3214, 4821, 9642

Least Common Multiple of 9639 and 9642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9639 and 9642, than apply into the LCM equation.

GCF(9639,9642) = 3
LCM(9639,9642) = ( 9639 × 9642) / 3
LCM(9639,9642) = 92939238 / 3
LCM(9639,9642) = 30979746

Properties of LCM 9639 and 9642

(i) The LCM of 9642 and 9639 is associative

LCM of 9639 and 9642 = LCM of 9642 and 9639

Related Least Common Multiples of 9639

Related Least Common Multiples of 9642

Frequently Asked Questions on LCM of 9639 and 9642

1. What is the LCM of 9639 and 9642?

Answer: LCM of 9639 and 9642 is 30979746.

2. What are the Factors of 9639?

Answer: Factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639. There are 20 integers that are factors of 9639. The greatest factor of 9639 is 9639.

3. What are the Factors of 9642?

Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.

4. How to Find the LCM of 9639 and 9642?

Answer:

Least Common Multiple of 9639 and 9642 = 30979746

Step 1: Find the prime factorization of 9639

9639 = 3 x 3 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

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

LCM = 30979746 = 2 x 3 x 3 x 3 x 3 x 7 x 17 x 1607

Step 4: Therefore, the least common multiple of 9639 and 9642 is 30979746.