Least Common Multiple of 9668 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 9668 and 9672 the smallest integer that is 23377224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9668 and 9672 is 23377224.

LCM(9668,9672) = 23377224

LCM of 9668 and 9672

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

LCM of:
and

Least Common Multiple of 9668 and 9672

LCM of 9668 and 9672 is 23377224

Least common multiple can be found by multiplying the highest exponent prime factors of 9668 and 9672. First we will calculate the prime factors of 9668 and 9672.

Prime Factorization of 9668


2 9668
2 4834
2417 2417
1

Prime factors of 9668 are 2,2417. Prime factorization of 9668 in exponential form is:

9668 = 22×24171

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 9668 and 9672.

LCM(9668,9672) = 23×31×131×311×24171
LCM(9668,9672) = 23377224

Factors of 9668

List of positive integer factors of 9668 that divides 9668 without a remainder.

1, 2, 4, 2417, 4834, 9668

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 9668 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 9668 and 9672, than apply into the LCM equation.

GCF(9668,9672) = 4
LCM(9668,9672) = ( 9668 × 9672) / 4
LCM(9668,9672) = 93508896 / 4
LCM(9668,9672) = 23377224

Properties of LCM 9668 and 9672

(i) The LCM of 9672 and 9668 is associative

LCM of 9668 and 9672 = LCM of 9672 and 9668

Related Least Common Multiples of 9668

Related Least Common Multiples of 9672

Frequently Asked Questions on LCM of 9668 and 9672

1. What is the LCM of 9668 and 9672?

Answer: LCM of 9668 and 9672 is 23377224.

2. What are the Factors of 9668?

Answer: Factors of 9668 are 1, 2, 4, 2417, 4834, 9668. There are 6 integers that are factors of 9668. The greatest factor of 9668 is 9668.

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 9668 and 9672?

Answer:

Least Common Multiple of 9668 and 9672 = 23377224

Step 1: Find the prime factorization of 9668

9668 = 2 x 2 x 2417

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 = 23377224 = 2 x 2 x 2 x 3 x 13 x 31 x 2417

Step 4: Therefore, the least common multiple of 9668 and 9672 is 23377224.