Least Common Multiple of 7664 and 7668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7664 and 7668 the smallest integer that is 14691888 that is divisible by both numbers.

Least Common Multiple (LCM) of 7664 and 7668 is 14691888.

LCM(7664,7668) = 14691888

LCM of 7664 and 7668

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

LCM of:
and

Least Common Multiple of 7664 and 7668

LCM of 7664 and 7668 is 14691888

Least common multiple can be found by multiplying the highest exponent prime factors of 7664 and 7668. First we will calculate the prime factors of 7664 and 7668.

Prime Factorization of 7664


2 7664
2 3832
2 1916
2 958
479 479
1

Prime factors of 7664 are 2,479. Prime factorization of 7664 in exponential form is:

7664 = 24×4791

Prime Factorization of 7668


2 7668
2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 7668 are 2, 3,71. Prime factorization of 7668 in exponential form is:

7668 = 22×33×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7664 and 7668.

LCM(7664,7668) = 24×33×711×4791
LCM(7664,7668) = 14691888

Factors of 7664

List of positive integer factors of 7664 that divides 7664 without a remainder.

1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668

Least Common Multiple of 7664 and 7668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7664 and 7668, than apply into the LCM equation.

GCF(7664,7668) = 4
LCM(7664,7668) = ( 7664 × 7668) / 4
LCM(7664,7668) = 58767552 / 4
LCM(7664,7668) = 14691888

Properties of LCM 7664 and 7668

(i) The LCM of 7668 and 7664 is associative

LCM of 7664 and 7668 = LCM of 7668 and 7664

Related Least Common Multiples of 7664

Related Least Common Multiples of 7668

Frequently Asked Questions on LCM of 7664 and 7668

1. What is the LCM of 7664 and 7668?

Answer: LCM of 7664 and 7668 is 14691888.

2. What are the Factors of 7664?

Answer: Factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664. There are 10 integers that are factors of 7664. The greatest factor of 7664 is 7664.

3. What are the Factors of 7668?

Answer: Factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668. There are 24 integers that are factors of 7668. The greatest factor of 7668 is 7668.

4. How to Find the LCM of 7664 and 7668?

Answer:

Least Common Multiple of 7664 and 7668 = 14691888

Step 1: Find the prime factorization of 7664

7664 = 2 x 2 x 2 x 2 x 479

Step 2: Find the prime factorization of 7668

7668 = 2 x 2 x 3 x 3 x 3 x 71

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

LCM = 14691888 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 71 x 479

Step 4: Therefore, the least common multiple of 7664 and 7668 is 14691888.