Least Common Multiple of 626 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 626 and 627 the smallest integer that is 392502 that is divisible by both numbers.

Least Common Multiple (LCM) of 626 and 627 is 392502.

LCM(626,627) = 392502

LCM of 626 and 627

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

LCM of:
and

Least Common Multiple of 626 and 627

LCM of 626 and 627 is 392502

Least common multiple can be found by multiplying the highest exponent prime factors of 626 and 627. First we will calculate the prime factors of 626 and 627.

Prime Factorization of 626


2 626
313 313
1

Prime factors of 626 are 2,313. Prime factorization of 626 in exponential form is:

626 = 21×3131

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 626 and 627.

LCM(626,627) = 21×31×111×191×3131
LCM(626,627) = 392502

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1, 2, 313, 626

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 626 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 626 and 627, than apply into the LCM equation.

GCF(626,627) = 1
LCM(626,627) = ( 626 × 627) / 1
LCM(626,627) = 392502 / 1
LCM(626,627) = 392502

Properties of LCM 626 and 627

(i) The LCM of 627 and 626 is associative

LCM of 626 and 627 = LCM of 627 and 626

Related Least Common Multiples of 626

Related Least Common Multiples of 627

Frequently Asked Questions on LCM of 626 and 627

1. What is the LCM of 626 and 627?

Answer: LCM of 626 and 627 is 392502.

2. What are the Factors of 626?

Answer: Factors of 626 are 1, 2, 313, 626. There are 4 integers that are factors of 626. The greatest factor of 626 is 626.

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 626 and 627?

Answer:

Least Common Multiple of 626 and 627 = 392502

Step 1: Find the prime factorization of 626

626 = 2 x 313

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 = 392502 = 2 x 3 x 11 x 19 x 313

Step 4: Therefore, the least common multiple of 626 and 627 is 392502.