Least Common Multiple of 7652 and 7656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7652 and 7656 the smallest integer that is 14645928 that is divisible by both numbers.

Least Common Multiple (LCM) of 7652 and 7656 is 14645928.

LCM(7652,7656) = 14645928

LCM of 7652 and 7656

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

LCM of:
and

Least Common Multiple of 7652 and 7656

LCM of 7652 and 7656 is 14645928

Least common multiple can be found by multiplying the highest exponent prime factors of 7652 and 7656. First we will calculate the prime factors of 7652 and 7656.

Prime Factorization of 7652


2 7652
2 3826
1913 1913
1

Prime factors of 7652 are 2,1913. Prime factorization of 7652 in exponential form is:

7652 = 22×19131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7652 and 7656.

LCM(7652,7656) = 23×31×111×291×19131
LCM(7652,7656) = 14645928

Factors of 7652

List of positive integer factors of 7652 that divides 7652 without a remainder.

1, 2, 4, 1913, 3826, 7652

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

Least Common Multiple of 7652 and 7656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7652 and 7656, than apply into the LCM equation.

GCF(7652,7656) = 4
LCM(7652,7656) = ( 7652 × 7656) / 4
LCM(7652,7656) = 58583712 / 4
LCM(7652,7656) = 14645928

Properties of LCM 7652 and 7656

(i) The LCM of 7656 and 7652 is associative

LCM of 7652 and 7656 = LCM of 7656 and 7652

Related Least Common Multiples of 7652

Related Least Common Multiples of 7656

Frequently Asked Questions on LCM of 7652 and 7656

1. What is the LCM of 7652 and 7656?

Answer: LCM of 7652 and 7656 is 14645928.

2. What are the Factors of 7652?

Answer: Factors of 7652 are 1, 2, 4, 1913, 3826, 7652. There are 6 integers that are factors of 7652. The greatest factor of 7652 is 7652.

3. 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.

4. How to Find the LCM of 7652 and 7656?

Answer:

Least Common Multiple of 7652 and 7656 = 14645928

Step 1: Find the prime factorization of 7652

7652 = 2 x 2 x 1913

Step 2: Find the prime factorization of 7656

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

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

LCM = 14645928 = 2 x 2 x 2 x 3 x 11 x 29 x 1913

Step 4: Therefore, the least common multiple of 7652 and 7656 is 14645928.