Least Common Multiple of 622 and 627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 622 and 627 the smallest integer that is 389994 that is divisible by both numbers.

Least Common Multiple (LCM) of 622 and 627 is 389994.

LCM(622,627) = 389994

LCM of 622 and 627

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

LCM of:
and

Least Common Multiple of 622 and 627

LCM of 622 and 627 is 389994

Least common multiple can be found by multiplying the highest exponent prime factors of 622 and 627. First we will calculate the prime factors of 622 and 627.

Prime Factorization of 622


2 622
311 311
1

Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:

622 = 21×3111

Prime Factorization of 627


3 627
11 209
19 19
1

Prime factors of 627 are 3, 11,19. Prime factorization of 627 in exponential form is:

627 = 31×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 622 and 627.

LCM(622,627) = 21×31×111×191×3111
LCM(622,627) = 389994

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Least Common Multiple of 622 and 627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 622 and 627, than apply into the LCM equation.

GCF(622,627) = 1
LCM(622,627) = ( 622 × 627) / 1
LCM(622,627) = 389994 / 1
LCM(622,627) = 389994

Properties of LCM 622 and 627

(i) The LCM of 627 and 622 is associative

LCM of 622 and 627 = LCM of 627 and 622

Related Least Common Multiples of 622

Related Least Common Multiples of 627

Frequently Asked Questions on LCM of 622 and 627

1. What is the LCM of 622 and 627?

Answer: LCM of 622 and 627 is 389994.

2. What are the Factors of 622?

Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.

3. What are the Factors of 627?

Answer: Factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627. There are 8 integers that are factors of 627. The greatest factor of 627 is 627.

4. How to Find the LCM of 622 and 627?

Answer:

Least Common Multiple of 622 and 627 = 389994

Step 1: Find the prime factorization of 622

622 = 2 x 311

Step 2: Find the prime factorization of 627

627 = 3 x 11 x 19

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

LCM = 389994 = 2 x 3 x 11 x 19 x 311

Step 4: Therefore, the least common multiple of 622 and 627 is 389994.