Least Common Multiple of 627 and 630

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 630 the smallest integer that is 131670 that is divisible by both numbers.

Least Common Multiple (LCM) of 627 and 630 is 131670.

LCM(627,630) = 131670

LCM of 627 and 630

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

LCM of:
and

Least Common Multiple of 627 and 630

LCM of 627 and 630 is 131670

Least common multiple can be found by multiplying the highest exponent prime factors of 627 and 630. First we will calculate the prime factors of 627 and 630.

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 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 627 and 630.

LCM(627,630) = 21×32×51×71×111×191
LCM(627,630) = 131670

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 630

List of positive integer factors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Least Common Multiple of 627 and 630 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 630, than apply into the LCM equation.

GCF(627,630) = 3
LCM(627,630) = ( 627 × 630) / 3
LCM(627,630) = 395010 / 3
LCM(627,630) = 131670

Properties of LCM 627 and 630

(i) The LCM of 630 and 627 is associative

LCM of 627 and 630 = LCM of 630 and 627

Related Least Common Multiples of 627

Related Least Common Multiples of 630

Frequently Asked Questions on LCM of 627 and 630

1. What is the LCM of 627 and 630?

Answer: LCM of 627 and 630 is 131670.

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 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

4. How to Find the LCM of 627 and 630?

Answer:

Least Common Multiple of 627 and 630 = 131670

Step 1: Find the prime factorization of 627

627 = 3 x 11 x 19

Step 2: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

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

LCM = 131670 = 2 x 3 x 3 x 5 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 627 and 630 is 131670.