Least Common Multiple of 627 and 633

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 633 the smallest integer that is 132297 that is divisible by both numbers.

Least Common Multiple (LCM) of 627 and 633 is 132297.

LCM(627,633) = 132297

LCM of 627 and 633

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

LCM of:
and

Least Common Multiple of 627 and 633

LCM of 627 and 633 is 132297

Least common multiple can be found by multiplying the highest exponent prime factors of 627 and 633. First we will calculate the prime factors of 627 and 633.

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 633


3 633
211 211
1

Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:

633 = 31×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 627 and 633.

LCM(627,633) = 31×111×191×2111
LCM(627,633) = 132297

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 633

List of positive integer factors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Least Common Multiple of 627 and 633 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 633, than apply into the LCM equation.

GCF(627,633) = 3
LCM(627,633) = ( 627 × 633) / 3
LCM(627,633) = 396891 / 3
LCM(627,633) = 132297

Properties of LCM 627 and 633

(i) The LCM of 633 and 627 is associative

LCM of 627 and 633 = LCM of 633 and 627

Related Least Common Multiples of 627

Related Least Common Multiples of 633

Frequently Asked Questions on LCM of 627 and 633

1. What is the LCM of 627 and 633?

Answer: LCM of 627 and 633 is 132297.

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 633?

Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.

4. How to Find the LCM of 627 and 633?

Answer:

Least Common Multiple of 627 and 633 = 132297

Step 1: Find the prime factorization of 627

627 = 3 x 11 x 19

Step 2: Find the prime factorization of 633

633 = 3 x 211

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

LCM = 132297 = 3 x 11 x 19 x 211

Step 4: Therefore, the least common multiple of 627 and 633 is 132297.