Least Common Multiple of 2622 and 2626

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 2626 the smallest integer that is 3442686 that is divisible by both numbers.

Least Common Multiple (LCM) of 2622 and 2626 is 3442686.

LCM(2622,2626) = 3442686

LCM of 2622 and 2626

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

LCM of:
and

Least Common Multiple of 2622 and 2626

LCM of 2622 and 2626 is 3442686

Least common multiple can be found by multiplying the highest exponent prime factors of 2622 and 2626. First we will calculate the prime factors of 2622 and 2626.

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 2626


2 2626
13 1313
101 101
1

Prime factors of 2626 are 2, 13,101. Prime factorization of 2626 in exponential form is:

2626 = 21×131×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2622 and 2626.

LCM(2622,2626) = 21×31×131×191×231×1011
LCM(2622,2626) = 3442686

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 2626

List of positive integer factors of 2626 that divides 2626 without a remainder.

1, 2, 13, 26, 101, 202, 1313, 2626

Least Common Multiple of 2622 and 2626 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 2626, than apply into the LCM equation.

GCF(2622,2626) = 2
LCM(2622,2626) = ( 2622 × 2626) / 2
LCM(2622,2626) = 6885372 / 2
LCM(2622,2626) = 3442686

Properties of LCM 2622 and 2626

(i) The LCM of 2626 and 2622 is associative

LCM of 2622 and 2626 = LCM of 2626 and 2622

Related Least Common Multiples of 2622

Related Least Common Multiples of 2626

Frequently Asked Questions on LCM of 2622 and 2626

1. What is the LCM of 2622 and 2626?

Answer: LCM of 2622 and 2626 is 3442686.

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 2626?

Answer: Factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626. There are 8 integers that are factors of 2626. The greatest factor of 2626 is 2626.

4. How to Find the LCM of 2622 and 2626?

Answer:

Least Common Multiple of 2622 and 2626 = 3442686

Step 1: Find the prime factorization of 2622

2622 = 2 x 3 x 19 x 23

Step 2: Find the prime factorization of 2626

2626 = 2 x 13 x 101

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

LCM = 3442686 = 2 x 3 x 13 x 19 x 23 x 101

Step 4: Therefore, the least common multiple of 2622 and 2626 is 3442686.