Least Common Multiple of 627 and 634

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 634 the smallest integer that is 397518 that is divisible by both numbers.

Least Common Multiple (LCM) of 627 and 634 is 397518.

LCM(627,634) = 397518

LCM of 627 and 634

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

LCM of:
and

Least Common Multiple of 627 and 634

LCM of 627 and 634 is 397518

Least common multiple can be found by multiplying the highest exponent prime factors of 627 and 634. First we will calculate the prime factors of 627 and 634.

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 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 627 and 634.

LCM(627,634) = 21×31×111×191×3171
LCM(627,634) = 397518

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 634

List of positive integer factors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Least Common Multiple of 627 and 634 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 634, than apply into the LCM equation.

GCF(627,634) = 1
LCM(627,634) = ( 627 × 634) / 1
LCM(627,634) = 397518 / 1
LCM(627,634) = 397518

Properties of LCM 627 and 634

(i) The LCM of 634 and 627 is associative

LCM of 627 and 634 = LCM of 634 and 627

Related Least Common Multiples of 627

Related Least Common Multiples of 634

Frequently Asked Questions on LCM of 627 and 634

1. What is the LCM of 627 and 634?

Answer: LCM of 627 and 634 is 397518.

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 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

4. How to Find the LCM of 627 and 634?

Answer:

Least Common Multiple of 627 and 634 = 397518

Step 1: Find the prime factorization of 627

627 = 3 x 11 x 19

Step 2: Find the prime factorization of 634

634 = 2 x 317

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

LCM = 397518 = 2 x 3 x 11 x 19 x 317

Step 4: Therefore, the least common multiple of 627 and 634 is 397518.