Least Common Multiple of 9672 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 9672 and 9679 the smallest integer that is 93615288 that is divisible by both numbers.

Least Common Multiple (LCM) of 9672 and 9679 is 93615288.

LCM(9672,9679) = 93615288

LCM of 9672 and 9679

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

LCM of:
and

Least Common Multiple of 9672 and 9679

LCM of 9672 and 9679 is 93615288

Least common multiple can be found by multiplying the highest exponent prime factors of 9672 and 9679. First we will calculate the prime factors of 9672 and 9679.

Prime Factorization of 9672


2 9672
2 4836
2 2418
3 1209
13 403
31 31
1

Prime factors of 9672 are 2, 3, 13,31. Prime factorization of 9672 in exponential form is:

9672 = 23×31×131×311

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 9672 and 9679.

LCM(9672,9679) = 23×31×131×311×96791
LCM(9672,9679) = 93615288

Factors of 9672

List of positive integer factors of 9672 that divides 9672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672

Factors of 9679

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

1, 9679

Least Common Multiple of 9672 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 9672 and 9679, than apply into the LCM equation.

GCF(9672,9679) = 1
LCM(9672,9679) = ( 9672 × 9679) / 1
LCM(9672,9679) = 93615288 / 1
LCM(9672,9679) = 93615288

Properties of LCM 9672 and 9679

(i) The LCM of 9679 and 9672 is associative

LCM of 9672 and 9679 = LCM of 9679 and 9672

Related Least Common Multiples of 9672

Related Least Common Multiples of 9679

Frequently Asked Questions on LCM of 9672 and 9679

1. What is the LCM of 9672 and 9679?

Answer: LCM of 9672 and 9679 is 93615288.

2. What are the Factors of 9672?

Answer: Factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672. There are 32 integers that are factors of 9672. The greatest factor of 9672 is 9672.

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 9672 and 9679?

Answer:

Least Common Multiple of 9672 and 9679 = 93615288

Step 1: Find the prime factorization of 9672

9672 = 2 x 2 x 2 x 3 x 13 x 31

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 = 93615288 = 2 x 2 x 2 x 3 x 13 x 31 x 9679

Step 4: Therefore, the least common multiple of 9672 and 9679 is 93615288.