Least Common Multiple of 627 and 632

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 632 the smallest integer that is 396264 that is divisible by both numbers.

Least Common Multiple (LCM) of 627 and 632 is 396264.

LCM(627,632) = 396264

LCM of 627 and 632

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

LCM of:
and

Least Common Multiple of 627 and 632

LCM of 627 and 632 is 396264

Least common multiple can be found by multiplying the highest exponent prime factors of 627 and 632. First we will calculate the prime factors of 627 and 632.

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 632


2 632
2 316
2 158
79 79
1

Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:

632 = 23×791

Now multiplying the highest exponent prime factors to calculate the LCM of 627 and 632.

LCM(627,632) = 23×31×111×191×791
LCM(627,632) = 396264

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 632

List of positive integer factors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Least Common Multiple of 627 and 632 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 632, than apply into the LCM equation.

GCF(627,632) = 1
LCM(627,632) = ( 627 × 632) / 1
LCM(627,632) = 396264 / 1
LCM(627,632) = 396264

Properties of LCM 627 and 632

(i) The LCM of 632 and 627 is associative

LCM of 627 and 632 = LCM of 632 and 627

Related Least Common Multiples of 627

Related Least Common Multiples of 632

Frequently Asked Questions on LCM of 627 and 632

1. What is the LCM of 627 and 632?

Answer: LCM of 627 and 632 is 396264.

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 632?

Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.

4. How to Find the LCM of 627 and 632?

Answer:

Least Common Multiple of 627 and 632 = 396264

Step 1: Find the prime factorization of 627

627 = 3 x 11 x 19

Step 2: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

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

LCM = 396264 = 2 x 2 x 2 x 3 x 11 x 19 x 79

Step 4: Therefore, the least common multiple of 627 and 632 is 396264.