Least Common Multiple of 7621 and 7629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7621 and 7629 the smallest integer that is 58140609 that is divisible by both numbers.

Least Common Multiple (LCM) of 7621 and 7629 is 58140609.

LCM(7621,7629) = 58140609

LCM of 7621 and 7629

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

LCM of:
and

Least Common Multiple of 7621 and 7629

LCM of 7621 and 7629 is 58140609

Least common multiple can be found by multiplying the highest exponent prime factors of 7621 and 7629. First we will calculate the prime factors of 7621 and 7629.

Prime Factorization of 7621


7621 7621
1

Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:

7621 = 76211

Prime Factorization of 7629


3 7629
2543 2543
1

Prime factors of 7629 are 3,2543. Prime factorization of 7629 in exponential form is:

7629 = 31×25431

Now multiplying the highest exponent prime factors to calculate the LCM of 7621 and 7629.

LCM(7621,7629) = 31×25431×76211
LCM(7621,7629) = 58140609

Factors of 7621

List of positive integer factors of 7621 that divides 7621 without a remainder.

1, 7621

Factors of 7629

List of positive integer factors of 7629 that divides 7629 without a remainder.

1, 3, 2543, 7629

Least Common Multiple of 7621 and 7629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7621 and 7629, than apply into the LCM equation.

GCF(7621,7629) = 1
LCM(7621,7629) = ( 7621 × 7629) / 1
LCM(7621,7629) = 58140609 / 1
LCM(7621,7629) = 58140609

Properties of LCM 7621 and 7629

(i) The LCM of 7629 and 7621 is associative

LCM of 7621 and 7629 = LCM of 7629 and 7621

Related Least Common Multiples of 7621

Related Least Common Multiples of 7629

Frequently Asked Questions on LCM of 7621 and 7629

1. What is the LCM of 7621 and 7629?

Answer: LCM of 7621 and 7629 is 58140609.

2. What are the Factors of 7621?

Answer: Factors of 7621 are 1, 7621. There are 2 integers that are factors of 7621. The greatest factor of 7621 is 7621.

3. What are the Factors of 7629?

Answer: Factors of 7629 are 1, 3, 2543, 7629. There are 4 integers that are factors of 7629. The greatest factor of 7629 is 7629.

4. How to Find the LCM of 7621 and 7629?

Answer:

Least Common Multiple of 7621 and 7629 = 58140609

Step 1: Find the prime factorization of 7621

7621 = 7621

Step 2: Find the prime factorization of 7629

7629 = 3 x 2543

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

LCM = 58140609 = 3 x 2543 x 7621

Step 4: Therefore, the least common multiple of 7621 and 7629 is 58140609.