Least Common Multiple of 7644 and 7652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7644 and 7652 the smallest integer that is 14622972 that is divisible by both numbers.

Least Common Multiple (LCM) of 7644 and 7652 is 14622972.

LCM(7644,7652) = 14622972

LCM of 7644 and 7652

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

LCM of:
and

Least Common Multiple of 7644 and 7652

LCM of 7644 and 7652 is 14622972

Least common multiple can be found by multiplying the highest exponent prime factors of 7644 and 7652. First we will calculate the prime factors of 7644 and 7652.

Prime Factorization of 7644


2 7644
2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 7644 are 2, 3, 7,13. Prime factorization of 7644 in exponential form is:

7644 = 22×31×72×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7644 and 7652.

LCM(7644,7652) = 22×31×72×131×19131
LCM(7644,7652) = 14622972

Factors of 7644

List of positive integer factors of 7644 that divides 7644 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644

Factors of 7652

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

1, 2, 4, 1913, 3826, 7652

Least Common Multiple of 7644 and 7652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7644 and 7652, than apply into the LCM equation.

GCF(7644,7652) = 4
LCM(7644,7652) = ( 7644 × 7652) / 4
LCM(7644,7652) = 58491888 / 4
LCM(7644,7652) = 14622972

Properties of LCM 7644 and 7652

(i) The LCM of 7652 and 7644 is associative

LCM of 7644 and 7652 = LCM of 7652 and 7644

Related Least Common Multiples of 7644

Related Least Common Multiples of 7652

Frequently Asked Questions on LCM of 7644 and 7652

1. What is the LCM of 7644 and 7652?

Answer: LCM of 7644 and 7652 is 14622972.

2. What are the Factors of 7644?

Answer: Factors of 7644 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644. There are 36 integers that are factors of 7644. The greatest factor of 7644 is 7644.

3. 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.

4. How to Find the LCM of 7644 and 7652?

Answer:

Least Common Multiple of 7644 and 7652 = 14622972

Step 1: Find the prime factorization of 7644

7644 = 2 x 2 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 7652

7652 = 2 x 2 x 1913

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

LCM = 14622972 = 2 x 2 x 3 x 7 x 7 x 13 x 1913

Step 4: Therefore, the least common multiple of 7644 and 7652 is 14622972.