Least Common Multiple of 9638 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 9638 and 9642 the smallest integer that is 46464798 that is divisible by both numbers.

Least Common Multiple (LCM) of 9638 and 9642 is 46464798.

LCM(9638,9642) = 46464798

LCM of 9638 and 9642

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

LCM of:
and

Least Common Multiple of 9638 and 9642

LCM of 9638 and 9642 is 46464798

Least common multiple can be found by multiplying the highest exponent prime factors of 9638 and 9642. First we will calculate the prime factors of 9638 and 9642.

Prime Factorization of 9638


2 9638
61 4819
79 79
1

Prime factors of 9638 are 2, 61,79. Prime factorization of 9638 in exponential form is:

9638 = 21×611×791

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 9638 and 9642.

LCM(9638,9642) = 21×31×611×791×16071
LCM(9638,9642) = 46464798

Factors of 9638

List of positive integer factors of 9638 that divides 9638 without a remainder.

1, 2, 61, 79, 122, 158, 4819, 9638

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 9638 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 9638 and 9642, than apply into the LCM equation.

GCF(9638,9642) = 2
LCM(9638,9642) = ( 9638 × 9642) / 2
LCM(9638,9642) = 92929596 / 2
LCM(9638,9642) = 46464798

Properties of LCM 9638 and 9642

(i) The LCM of 9642 and 9638 is associative

LCM of 9638 and 9642 = LCM of 9642 and 9638

Related Least Common Multiples of 9638

Related Least Common Multiples of 9642

Frequently Asked Questions on LCM of 9638 and 9642

1. What is the LCM of 9638 and 9642?

Answer: LCM of 9638 and 9642 is 46464798.

2. What are the Factors of 9638?

Answer: Factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638. There are 8 integers that are factors of 9638. The greatest factor of 9638 is 9638.

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 9638 and 9642?

Answer:

Least Common Multiple of 9638 and 9642 = 46464798

Step 1: Find the prime factorization of 9638

9638 = 2 x 61 x 79

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 = 46464798 = 2 x 3 x 61 x 79 x 1607

Step 4: Therefore, the least common multiple of 9638 and 9642 is 46464798.