Least Common Multiple of 7668 and 7674

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 7674 the smallest integer that is 9807372 that is divisible by both numbers.

Least Common Multiple (LCM) of 7668 and 7674 is 9807372.

LCM(7668,7674) = 9807372

LCM of 7668 and 7674

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

LCM of:
and

Least Common Multiple of 7668 and 7674

LCM of 7668 and 7674 is 9807372

Least common multiple can be found by multiplying the highest exponent prime factors of 7668 and 7674. First we will calculate the prime factors of 7668 and 7674.

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 7674


2 7674
3 3837
1279 1279
1

Prime factors of 7674 are 2, 3,1279. Prime factorization of 7674 in exponential form is:

7674 = 21×31×12791

Now multiplying the highest exponent prime factors to calculate the LCM of 7668 and 7674.

LCM(7668,7674) = 22×33×711×12791
LCM(7668,7674) = 9807372

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 7674

List of positive integer factors of 7674 that divides 7674 without a remainder.

1, 2, 3, 6, 1279, 2558, 3837, 7674

Least Common Multiple of 7668 and 7674 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 7674, than apply into the LCM equation.

GCF(7668,7674) = 6
LCM(7668,7674) = ( 7668 × 7674) / 6
LCM(7668,7674) = 58844232 / 6
LCM(7668,7674) = 9807372

Properties of LCM 7668 and 7674

(i) The LCM of 7674 and 7668 is associative

LCM of 7668 and 7674 = LCM of 7674 and 7668

Related Least Common Multiples of 7668

Related Least Common Multiples of 7674

Frequently Asked Questions on LCM of 7668 and 7674

1. What is the LCM of 7668 and 7674?

Answer: LCM of 7668 and 7674 is 9807372.

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 7674?

Answer: Factors of 7674 are 1, 2, 3, 6, 1279, 2558, 3837, 7674. There are 8 integers that are factors of 7674. The greatest factor of 7674 is 7674.

4. How to Find the LCM of 7668 and 7674?

Answer:

Least Common Multiple of 7668 and 7674 = 9807372

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 7674

7674 = 2 x 3 x 1279

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

LCM = 9807372 = 2 x 2 x 3 x 3 x 3 x 71 x 1279

Step 4: Therefore, the least common multiple of 7668 and 7674 is 9807372.