Least Common Multiple of 6620 and 6627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6620 and 6627 the smallest integer that is 43870740 that is divisible by both numbers.

Least Common Multiple (LCM) of 6620 and 6627 is 43870740.

LCM(6620,6627) = 43870740

LCM of 6620 and 6627

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

LCM of:
and

Least Common Multiple of 6620 and 6627

LCM of 6620 and 6627 is 43870740

Least common multiple can be found by multiplying the highest exponent prime factors of 6620 and 6627. First we will calculate the prime factors of 6620 and 6627.

Prime Factorization of 6620


2 6620
2 3310
5 1655
331 331
1

Prime factors of 6620 are 2, 5,331. Prime factorization of 6620 in exponential form is:

6620 = 22×51×3311

Prime Factorization of 6627


3 6627
47 2209
47 47
1

Prime factors of 6627 are 3,47. Prime factorization of 6627 in exponential form is:

6627 = 31×472

Now multiplying the highest exponent prime factors to calculate the LCM of 6620 and 6627.

LCM(6620,6627) = 22×31×51×472×3311
LCM(6620,6627) = 43870740

Factors of 6620

List of positive integer factors of 6620 that divides 6620 without a remainder.

1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620

Factors of 6627

List of positive integer factors of 6627 that divides 6627 without a remainder.

1, 3, 47, 141, 2209, 6627

Least Common Multiple of 6620 and 6627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6620 and 6627, than apply into the LCM equation.

GCF(6620,6627) = 1
LCM(6620,6627) = ( 6620 × 6627) / 1
LCM(6620,6627) = 43870740 / 1
LCM(6620,6627) = 43870740

Properties of LCM 6620 and 6627

(i) The LCM of 6627 and 6620 is associative

LCM of 6620 and 6627 = LCM of 6627 and 6620

Related Least Common Multiples of 6620

Related Least Common Multiples of 6627

Frequently Asked Questions on LCM of 6620 and 6627

1. What is the LCM of 6620 and 6627?

Answer: LCM of 6620 and 6627 is 43870740.

2. What are the Factors of 6620?

Answer: Factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620. There are 12 integers that are factors of 6620. The greatest factor of 6620 is 6620.

3. What are the Factors of 6627?

Answer: Factors of 6627 are 1, 3, 47, 141, 2209, 6627. There are 6 integers that are factors of 6627. The greatest factor of 6627 is 6627.

4. How to Find the LCM of 6620 and 6627?

Answer:

Least Common Multiple of 6620 and 6627 = 43870740

Step 1: Find the prime factorization of 6620

6620 = 2 x 2 x 5 x 331

Step 2: Find the prime factorization of 6627

6627 = 3 x 47 x 47

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

LCM = 43870740 = 2 x 2 x 3 x 5 x 47 x 47 x 331

Step 4: Therefore, the least common multiple of 6620 and 6627 is 43870740.