Least Common Multiple of 9642 and 9646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9642 and 9646 the smallest integer that is 46503366 that is divisible by both numbers.

Least Common Multiple (LCM) of 9642 and 9646 is 46503366.

LCM(9642,9646) = 46503366

LCM of 9642 and 9646

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

LCM of:
and

Least Common Multiple of 9642 and 9646

LCM of 9642 and 9646 is 46503366

Least common multiple can be found by multiplying the highest exponent prime factors of 9642 and 9646. First we will calculate the prime factors of 9642 and 9646.

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

Prime Factorization of 9646


2 9646
7 4823
13 689
53 53
1

Prime factors of 9646 are 2, 7, 13,53. Prime factorization of 9646 in exponential form is:

9646 = 21×71×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9642 and 9646.

LCM(9642,9646) = 21×31×71×131×531×16071
LCM(9642,9646) = 46503366

Factors of 9642

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

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

Factors of 9646

List of positive integer factors of 9646 that divides 9646 without a remainder.

1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646

Least Common Multiple of 9642 and 9646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9642 and 9646, than apply into the LCM equation.

GCF(9642,9646) = 2
LCM(9642,9646) = ( 9642 × 9646) / 2
LCM(9642,9646) = 93006732 / 2
LCM(9642,9646) = 46503366

Properties of LCM 9642 and 9646

(i) The LCM of 9646 and 9642 is associative

LCM of 9642 and 9646 = LCM of 9646 and 9642

Related Least Common Multiples of 9642

Related Least Common Multiples of 9646

Frequently Asked Questions on LCM of 9642 and 9646

1. What is the LCM of 9642 and 9646?

Answer: LCM of 9642 and 9646 is 46503366.

2. 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.

3. What are the Factors of 9646?

Answer: Factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646. There are 16 integers that are factors of 9646. The greatest factor of 9646 is 9646.

4. How to Find the LCM of 9642 and 9646?

Answer:

Least Common Multiple of 9642 and 9646 = 46503366

Step 1: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

Step 2: Find the prime factorization of 9646

9646 = 2 x 7 x 13 x 53

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

LCM = 46503366 = 2 x 3 x 7 x 13 x 53 x 1607

Step 4: Therefore, the least common multiple of 9642 and 9646 is 46503366.