Least Common Multiple of 627 and 628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 627 and 628 the smallest integer that is 393756 that is divisible by both numbers.

Least Common Multiple (LCM) of 627 and 628 is 393756.

LCM(627,628) = 393756

LCM of 627 and 628

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

LCM of:
and

Least Common Multiple of 627 and 628

LCM of 627 and 628 is 393756

Least common multiple can be found by multiplying the highest exponent prime factors of 627 and 628. First we will calculate the prime factors of 627 and 628.

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

Prime Factorization of 628


2 628
2 314
157 157
1

Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:

628 = 22×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 627 and 628.

LCM(627,628) = 22×31×111×191×1571
LCM(627,628) = 393756

Factors of 627

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

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

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Least Common Multiple of 627 and 628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 627 and 628, than apply into the LCM equation.

GCF(627,628) = 1
LCM(627,628) = ( 627 × 628) / 1
LCM(627,628) = 393756 / 1
LCM(627,628) = 393756

Properties of LCM 627 and 628

(i) The LCM of 628 and 627 is associative

LCM of 627 and 628 = LCM of 628 and 627

Related Least Common Multiples of 627

Related Least Common Multiples of 628

Frequently Asked Questions on LCM of 627 and 628

1. What is the LCM of 627 and 628?

Answer: LCM of 627 and 628 is 393756.

2. 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.

3. What are the Factors of 628?

Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.

4. How to Find the LCM of 627 and 628?

Answer:

Least Common Multiple of 627 and 628 = 393756

Step 1: Find the prime factorization of 627

627 = 3 x 11 x 19

Step 2: Find the prime factorization of 628

628 = 2 x 2 x 157

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

LCM = 393756 = 2 x 2 x 3 x 11 x 19 x 157

Step 4: Therefore, the least common multiple of 627 and 628 is 393756.