Least Common Multiple of 9671 and 9679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9671 and 9679 the smallest integer that is 93605609 that is divisible by both numbers.

Least Common Multiple (LCM) of 9671 and 9679 is 93605609.

LCM(9671,9679) = 93605609

LCM of 9671 and 9679

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

LCM of:
and

Least Common Multiple of 9671 and 9679

LCM of 9671 and 9679 is 93605609

Least common multiple can be found by multiplying the highest exponent prime factors of 9671 and 9679. First we will calculate the prime factors of 9671 and 9679.

Prime Factorization of 9671


19 9671
509 509
1

Prime factors of 9671 are 19,509. Prime factorization of 9671 in exponential form is:

9671 = 191×5091

Prime Factorization of 9679


9679 9679
1

Prime factors of 9679 are 9679. Prime factorization of 9679 in exponential form is:

9679 = 96791

Now multiplying the highest exponent prime factors to calculate the LCM of 9671 and 9679.

LCM(9671,9679) = 191×5091×96791
LCM(9671,9679) = 93605609

Factors of 9671

List of positive integer factors of 9671 that divides 9671 without a remainder.

1, 19, 509, 9671

Factors of 9679

List of positive integer factors of 9679 that divides 9679 without a remainder.

1, 9679

Least Common Multiple of 9671 and 9679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9671 and 9679, than apply into the LCM equation.

GCF(9671,9679) = 1
LCM(9671,9679) = ( 9671 × 9679) / 1
LCM(9671,9679) = 93605609 / 1
LCM(9671,9679) = 93605609

Properties of LCM 9671 and 9679

(i) The LCM of 9679 and 9671 is associative

LCM of 9671 and 9679 = LCM of 9679 and 9671

Related Least Common Multiples of 9671

Related Least Common Multiples of 9679

Frequently Asked Questions on LCM of 9671 and 9679

1. What is the LCM of 9671 and 9679?

Answer: LCM of 9671 and 9679 is 93605609.

2. What are the Factors of 9671?

Answer: Factors of 9671 are 1, 19, 509, 9671. There are 4 integers that are factors of 9671. The greatest factor of 9671 is 9671.

3. What are the Factors of 9679?

Answer: Factors of 9679 are 1, 9679. There are 2 integers that are factors of 9679. The greatest factor of 9679 is 9679.

4. How to Find the LCM of 9671 and 9679?

Answer:

Least Common Multiple of 9671 and 9679 = 93605609

Step 1: Find the prime factorization of 9671

9671 = 19 x 509

Step 2: Find the prime factorization of 9679

9679 = 9679

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

LCM = 93605609 = 19 x 509 x 9679

Step 4: Therefore, the least common multiple of 9671 and 9679 is 93605609.