Least Common Multiple of 2627 and 2634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2627 and 2634 the smallest integer that is 6919518 that is divisible by both numbers.

Least Common Multiple (LCM) of 2627 and 2634 is 6919518.

LCM(2627,2634) = 6919518

LCM of 2627 and 2634

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

LCM of:
and

Least Common Multiple of 2627 and 2634

LCM of 2627 and 2634 is 6919518

Least common multiple can be found by multiplying the highest exponent prime factors of 2627 and 2634. First we will calculate the prime factors of 2627 and 2634.

Prime Factorization of 2627


37 2627
71 71
1

Prime factors of 2627 are 37,71. Prime factorization of 2627 in exponential form is:

2627 = 371×711

Prime Factorization of 2634


2 2634
3 1317
439 439
1

Prime factors of 2634 are 2, 3,439. Prime factorization of 2634 in exponential form is:

2634 = 21×31×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 2627 and 2634.

LCM(2627,2634) = 21×31×371×711×4391
LCM(2627,2634) = 6919518

Factors of 2627

List of positive integer factors of 2627 that divides 2627 without a remainder.

1, 37, 71, 2627

Factors of 2634

List of positive integer factors of 2634 that divides 2634 without a remainder.

1, 2, 3, 6, 439, 878, 1317, 2634

Least Common Multiple of 2627 and 2634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2627 and 2634, than apply into the LCM equation.

GCF(2627,2634) = 1
LCM(2627,2634) = ( 2627 × 2634) / 1
LCM(2627,2634) = 6919518 / 1
LCM(2627,2634) = 6919518

Properties of LCM 2627 and 2634

(i) The LCM of 2634 and 2627 is associative

LCM of 2627 and 2634 = LCM of 2634 and 2627

Related Least Common Multiples of 2627

Related Least Common Multiples of 2634

Frequently Asked Questions on LCM of 2627 and 2634

1. What is the LCM of 2627 and 2634?

Answer: LCM of 2627 and 2634 is 6919518.

2. What are the Factors of 2627?

Answer: Factors of 2627 are 1, 37, 71, 2627. There are 4 integers that are factors of 2627. The greatest factor of 2627 is 2627.

3. What are the Factors of 2634?

Answer: Factors of 2634 are 1, 2, 3, 6, 439, 878, 1317, 2634. There are 8 integers that are factors of 2634. The greatest factor of 2634 is 2634.

4. How to Find the LCM of 2627 and 2634?

Answer:

Least Common Multiple of 2627 and 2634 = 6919518

Step 1: Find the prime factorization of 2627

2627 = 37 x 71

Step 2: Find the prime factorization of 2634

2634 = 2 x 3 x 439

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

LCM = 6919518 = 2 x 3 x 37 x 71 x 439

Step 4: Therefore, the least common multiple of 2627 and 2634 is 6919518.