Least Common Multiple of 7660 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 7660 and 7668 the smallest integer that is 14684220 that is divisible by both numbers.

Least Common Multiple (LCM) of 7660 and 7668 is 14684220.

LCM(7660,7668) = 14684220

LCM of 7660 and 7668

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

LCM of:
and

Least Common Multiple of 7660 and 7668

LCM of 7660 and 7668 is 14684220

Least common multiple can be found by multiplying the highest exponent prime factors of 7660 and 7668. First we will calculate the prime factors of 7660 and 7668.

Prime Factorization of 7660


2 7660
2 3830
5 1915
383 383
1

Prime factors of 7660 are 2, 5,383. Prime factorization of 7660 in exponential form is:

7660 = 22×51×3831

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 7660 and 7668.

LCM(7660,7668) = 22×33×51×711×3831
LCM(7660,7668) = 14684220

Factors of 7660

List of positive integer factors of 7660 that divides 7660 without a remainder.

1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660

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 7660 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 7660 and 7668, than apply into the LCM equation.

GCF(7660,7668) = 4
LCM(7660,7668) = ( 7660 × 7668) / 4
LCM(7660,7668) = 58736880 / 4
LCM(7660,7668) = 14684220

Properties of LCM 7660 and 7668

(i) The LCM of 7668 and 7660 is associative

LCM of 7660 and 7668 = LCM of 7668 and 7660

Related Least Common Multiples of 7660

Related Least Common Multiples of 7668

Frequently Asked Questions on LCM of 7660 and 7668

1. What is the LCM of 7660 and 7668?

Answer: LCM of 7660 and 7668 is 14684220.

2. What are the Factors of 7660?

Answer: Factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660. There are 12 integers that are factors of 7660. The greatest factor of 7660 is 7660.

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 7660 and 7668?

Answer:

Least Common Multiple of 7660 and 7668 = 14684220

Step 1: Find the prime factorization of 7660

7660 = 2 x 2 x 5 x 383

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 = 14684220 = 2 x 2 x 3 x 3 x 3 x 5 x 71 x 383

Step 4: Therefore, the least common multiple of 7660 and 7668 is 14684220.