Least Common Multiple of 620 and 627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 620 and 627 the smallest integer that is 388740 that is divisible by both numbers.

Least Common Multiple (LCM) of 620 and 627 is 388740.

LCM(620,627) = 388740

LCM of 620 and 627

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

LCM of:
and

Least Common Multiple of 620 and 627

LCM of 620 and 627 is 388740

Least common multiple can be found by multiplying the highest exponent prime factors of 620 and 627. First we will calculate the prime factors of 620 and 627.

Prime Factorization of 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 620 and 627.

LCM(620,627) = 22×31×51×111×191×311
LCM(620,627) = 388740

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Factors of 627

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

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

Least Common Multiple of 620 and 627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 620 and 627, than apply into the LCM equation.

GCF(620,627) = 1
LCM(620,627) = ( 620 × 627) / 1
LCM(620,627) = 388740 / 1
LCM(620,627) = 388740

Properties of LCM 620 and 627

(i) The LCM of 627 and 620 is associative

LCM of 620 and 627 = LCM of 627 and 620

Frequently Asked Questions on LCM of 620 and 627

1. What is the LCM of 620 and 627?

Answer: LCM of 620 and 627 is 388740.

2. What are the Factors of 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

3. 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.

4. How to Find the LCM of 620 and 627?

Answer:

Least Common Multiple of 620 and 627 = 388740

Step 1: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 627

627 = 3 x 11 x 19

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

LCM = 388740 = 2 x 2 x 3 x 5 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 620 and 627 is 388740.