Least Common Multiple of 619 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 619 and 627 the smallest integer that is 388113 that is divisible by both numbers.

Least Common Multiple (LCM) of 619 and 627 is 388113.

LCM(619,627) = 388113

LCM of 619 and 627

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

LCM of:
and

Least Common Multiple of 619 and 627

LCM of 619 and 627 is 388113

Least common multiple can be found by multiplying the highest exponent prime factors of 619 and 627. First we will calculate the prime factors of 619 and 627.

Prime Factorization of 619


619 619
1

Prime factors of 619 are 619. Prime factorization of 619 in exponential form is:

619 = 6191

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 619 and 627.

LCM(619,627) = 31×111×191×6191
LCM(619,627) = 388113

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1, 619

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 619 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 619 and 627, than apply into the LCM equation.

GCF(619,627) = 1
LCM(619,627) = ( 619 × 627) / 1
LCM(619,627) = 388113 / 1
LCM(619,627) = 388113

Properties of LCM 619 and 627

(i) The LCM of 627 and 619 is associative

LCM of 619 and 627 = LCM of 627 and 619

Related Least Common Multiples of 619

Related Least Common Multiples of 627

Frequently Asked Questions on LCM of 619 and 627

1. What is the LCM of 619 and 627?

Answer: LCM of 619 and 627 is 388113.

2. What are the Factors of 619?

Answer: Factors of 619 are 1, 619. There are 2 integers that are factors of 619. The greatest factor of 619 is 619.

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 619 and 627?

Answer:

Least Common Multiple of 619 and 627 = 388113

Step 1: Find the prime factorization of 619

619 = 619

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 = 388113 = 3 x 11 x 19 x 619

Step 4: Therefore, the least common multiple of 619 and 627 is 388113.