Least Common Multiple of 9667 and 9672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9667 and 9672 the smallest integer that is 93499224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9667 and 9672 is 93499224.

LCM(9667,9672) = 93499224

LCM of 9667 and 9672

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

LCM of:
and

Least Common Multiple of 9667 and 9672

LCM of 9667 and 9672 is 93499224

Least common multiple can be found by multiplying the highest exponent prime factors of 9667 and 9672. First we will calculate the prime factors of 9667 and 9672.

Prime Factorization of 9667


7 9667
1381 1381
1

Prime factors of 9667 are 7,1381. Prime factorization of 9667 in exponential form is:

9667 = 71×13811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9667 and 9672.

LCM(9667,9672) = 23×31×71×131×311×13811
LCM(9667,9672) = 93499224

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1, 7, 1381, 9667

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

Least Common Multiple of 9667 and 9672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9667 and 9672, than apply into the LCM equation.

GCF(9667,9672) = 1
LCM(9667,9672) = ( 9667 × 9672) / 1
LCM(9667,9672) = 93499224 / 1
LCM(9667,9672) = 93499224

Properties of LCM 9667 and 9672

(i) The LCM of 9672 and 9667 is associative

LCM of 9667 and 9672 = LCM of 9672 and 9667

Related Least Common Multiples of 9667

Related Least Common Multiples of 9672

Frequently Asked Questions on LCM of 9667 and 9672

1. What is the LCM of 9667 and 9672?

Answer: LCM of 9667 and 9672 is 93499224.

2. What are the Factors of 9667?

Answer: Factors of 9667 are 1, 7, 1381, 9667. There are 4 integers that are factors of 9667. The greatest factor of 9667 is 9667.

3. 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.

4. How to Find the LCM of 9667 and 9672?

Answer:

Least Common Multiple of 9667 and 9672 = 93499224

Step 1: Find the prime factorization of 9667

9667 = 7 x 1381

Step 2: Find the prime factorization of 9672

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

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

LCM = 93499224 = 2 x 2 x 2 x 3 x 7 x 13 x 31 x 1381

Step 4: Therefore, the least common multiple of 9667 and 9672 is 93499224.