Least Common Multiple of 7656 and 7660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7656 and 7660 the smallest integer that is 14661240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7656 and 7660 is 14661240.

LCM(7656,7660) = 14661240

LCM of 7656 and 7660

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

LCM of:
and

Least Common Multiple of 7656 and 7660

LCM of 7656 and 7660 is 14661240

Least common multiple can be found by multiplying the highest exponent prime factors of 7656 and 7660. First we will calculate the prime factors of 7656 and 7660.

Prime Factorization of 7656


2 7656
2 3828
2 1914
3 957
11 319
29 29
1

Prime factors of 7656 are 2, 3, 11,29. Prime factorization of 7656 in exponential form is:

7656 = 23×31×111×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7656 and 7660.

LCM(7656,7660) = 23×31×51×111×291×3831
LCM(7656,7660) = 14661240

Factors of 7656

List of positive integer factors of 7656 that divides 7656 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656

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

Least Common Multiple of 7656 and 7660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7656 and 7660, than apply into the LCM equation.

GCF(7656,7660) = 4
LCM(7656,7660) = ( 7656 × 7660) / 4
LCM(7656,7660) = 58644960 / 4
LCM(7656,7660) = 14661240

Properties of LCM 7656 and 7660

(i) The LCM of 7660 and 7656 is associative

LCM of 7656 and 7660 = LCM of 7660 and 7656

Related Least Common Multiples of 7656

Related Least Common Multiples of 7660

Frequently Asked Questions on LCM of 7656 and 7660

1. What is the LCM of 7656 and 7660?

Answer: LCM of 7656 and 7660 is 14661240.

2. What are the Factors of 7656?

Answer: Factors of 7656 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656. There are 32 integers that are factors of 7656. The greatest factor of 7656 is 7656.

3. 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.

4. How to Find the LCM of 7656 and 7660?

Answer:

Least Common Multiple of 7656 and 7660 = 14661240

Step 1: Find the prime factorization of 7656

7656 = 2 x 2 x 2 x 3 x 11 x 29

Step 2: Find the prime factorization of 7660

7660 = 2 x 2 x 5 x 383

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

LCM = 14661240 = 2 x 2 x 2 x 3 x 5 x 11 x 29 x 383

Step 4: Therefore, the least common multiple of 7656 and 7660 is 14661240.