Least Common Multiple of 6621 and 6625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6621 and 6625 the smallest integer that is 43864125 that is divisible by both numbers.

Least Common Multiple (LCM) of 6621 and 6625 is 43864125.

LCM(6621,6625) = 43864125

LCM of 6621 and 6625

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

LCM of:
and

Least Common Multiple of 6621 and 6625

LCM of 6621 and 6625 is 43864125

Least common multiple can be found by multiplying the highest exponent prime factors of 6621 and 6625. First we will calculate the prime factors of 6621 and 6625.

Prime Factorization of 6621


3 6621
2207 2207
1

Prime factors of 6621 are 3,2207. Prime factorization of 6621 in exponential form is:

6621 = 31×22071

Prime Factorization of 6625


5 6625
5 1325
5 265
53 53
1

Prime factors of 6625 are 5,53. Prime factorization of 6625 in exponential form is:

6625 = 53×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6621 and 6625.

LCM(6621,6625) = 31×53×531×22071
LCM(6621,6625) = 43864125

Factors of 6621

List of positive integer factors of 6621 that divides 6621 without a remainder.

1, 3, 2207, 6621

Factors of 6625

List of positive integer factors of 6625 that divides 6625 without a remainder.

1, 5, 25, 53, 125, 265, 1325, 6625

Least Common Multiple of 6621 and 6625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6621 and 6625, than apply into the LCM equation.

GCF(6621,6625) = 1
LCM(6621,6625) = ( 6621 × 6625) / 1
LCM(6621,6625) = 43864125 / 1
LCM(6621,6625) = 43864125

Properties of LCM 6621 and 6625

(i) The LCM of 6625 and 6621 is associative

LCM of 6621 and 6625 = LCM of 6625 and 6621

Related Least Common Multiples of 6621

Related Least Common Multiples of 6625

Frequently Asked Questions on LCM of 6621 and 6625

1. What is the LCM of 6621 and 6625?

Answer: LCM of 6621 and 6625 is 43864125.

2. What are the Factors of 6621?

Answer: Factors of 6621 are 1, 3, 2207, 6621. There are 4 integers that are factors of 6621. The greatest factor of 6621 is 6621.

3. What are the Factors of 6625?

Answer: Factors of 6625 are 1, 5, 25, 53, 125, 265, 1325, 6625. There are 8 integers that are factors of 6625. The greatest factor of 6625 is 6625.

4. How to Find the LCM of 6621 and 6625?

Answer:

Least Common Multiple of 6621 and 6625 = 43864125

Step 1: Find the prime factorization of 6621

6621 = 3 x 2207

Step 2: Find the prime factorization of 6625

6625 = 5 x 5 x 5 x 53

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

LCM = 43864125 = 3 x 5 x 5 x 5 x 53 x 2207

Step 4: Therefore, the least common multiple of 6621 and 6625 is 43864125.