Least Common Multiple of 7668 and 7675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7668 and 7675 the smallest integer that is 58851900 that is divisible by both numbers.

Least Common Multiple (LCM) of 7668 and 7675 is 58851900.

LCM(7668,7675) = 58851900

LCM of 7668 and 7675

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

LCM of:
and

Least Common Multiple of 7668 and 7675

LCM of 7668 and 7675 is 58851900

Least common multiple can be found by multiplying the highest exponent prime factors of 7668 and 7675. First we will calculate the prime factors of 7668 and 7675.

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

Prime Factorization of 7675


5 7675
5 1535
307 307
1

Prime factors of 7675 are 5,307. Prime factorization of 7675 in exponential form is:

7675 = 52×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 7668 and 7675.

LCM(7668,7675) = 22×33×52×711×3071
LCM(7668,7675) = 58851900

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

Factors of 7675

List of positive integer factors of 7675 that divides 7675 without a remainder.

1, 5, 25, 307, 1535, 7675

Least Common Multiple of 7668 and 7675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7668 and 7675, than apply into the LCM equation.

GCF(7668,7675) = 1
LCM(7668,7675) = ( 7668 × 7675) / 1
LCM(7668,7675) = 58851900 / 1
LCM(7668,7675) = 58851900

Properties of LCM 7668 and 7675

(i) The LCM of 7675 and 7668 is associative

LCM of 7668 and 7675 = LCM of 7675 and 7668

Related Least Common Multiples of 7668

Related Least Common Multiples of 7675

Frequently Asked Questions on LCM of 7668 and 7675

1. What is the LCM of 7668 and 7675?

Answer: LCM of 7668 and 7675 is 58851900.

2. 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.

3. What are the Factors of 7675?

Answer: Factors of 7675 are 1, 5, 25, 307, 1535, 7675. There are 6 integers that are factors of 7675. The greatest factor of 7675 is 7675.

4. How to Find the LCM of 7668 and 7675?

Answer:

Least Common Multiple of 7668 and 7675 = 58851900

Step 1: Find the prime factorization of 7668

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

Step 2: Find the prime factorization of 7675

7675 = 5 x 5 x 307

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

LCM = 58851900 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 71 x 307

Step 4: Therefore, the least common multiple of 7668 and 7675 is 58851900.