Least Common Multiple of 2622 and 2627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2622 and 2627 the smallest integer that is 6887994 that is divisible by both numbers.

Least Common Multiple (LCM) of 2622 and 2627 is 6887994.

LCM(2622,2627) = 6887994

LCM of 2622 and 2627

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

LCM of:
and

Least Common Multiple of 2622 and 2627

LCM of 2622 and 2627 is 6887994

Least common multiple can be found by multiplying the highest exponent prime factors of 2622 and 2627. First we will calculate the prime factors of 2622 and 2627.

Prime Factorization of 2622


2 2622
3 1311
19 437
23 23
1

Prime factors of 2622 are 2, 3, 19,23. Prime factorization of 2622 in exponential form is:

2622 = 21×31×191×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2622 and 2627.

LCM(2622,2627) = 21×31×191×231×371×711
LCM(2622,2627) = 6887994

Factors of 2622

List of positive integer factors of 2622 that divides 2622 without a remainder.

1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311, 2622

Factors of 2627

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

1, 37, 71, 2627

Least Common Multiple of 2622 and 2627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2622 and 2627, than apply into the LCM equation.

GCF(2622,2627) = 1
LCM(2622,2627) = ( 2622 × 2627) / 1
LCM(2622,2627) = 6887994 / 1
LCM(2622,2627) = 6887994

Properties of LCM 2622 and 2627

(i) The LCM of 2627 and 2622 is associative

LCM of 2622 and 2627 = LCM of 2627 and 2622

Related Least Common Multiples of 2622

Related Least Common Multiples of 2627

Frequently Asked Questions on LCM of 2622 and 2627

1. What is the LCM of 2622 and 2627?

Answer: LCM of 2622 and 2627 is 6887994.

2. What are the Factors of 2622?

Answer: Factors of 2622 are 1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311, 2622. There are 16 integers that are factors of 2622. The greatest factor of 2622 is 2622.

3. 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.

4. How to Find the LCM of 2622 and 2627?

Answer:

Least Common Multiple of 2622 and 2627 = 6887994

Step 1: Find the prime factorization of 2622

2622 = 2 x 3 x 19 x 23

Step 2: Find the prime factorization of 2627

2627 = 37 x 71

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

LCM = 6887994 = 2 x 3 x 19 x 23 x 37 x 71

Step 4: Therefore, the least common multiple of 2622 and 2627 is 6887994.