Least Common Multiple of 2618 and 2622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2618 and 2622 the smallest integer that is 3432198 that is divisible by both numbers.

Least Common Multiple (LCM) of 2618 and 2622 is 3432198.

LCM(2618,2622) = 3432198

LCM of 2618 and 2622

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

LCM of:
and

Least Common Multiple of 2618 and 2622

LCM of 2618 and 2622 is 3432198

Least common multiple can be found by multiplying the highest exponent prime factors of 2618 and 2622. First we will calculate the prime factors of 2618 and 2622.

Prime Factorization of 2618


2 2618
7 1309
11 187
17 17
1

Prime factors of 2618 are 2, 7, 11,17. Prime factorization of 2618 in exponential form is:

2618 = 21×71×111×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2618 and 2622.

LCM(2618,2622) = 21×31×71×111×171×191×231
LCM(2618,2622) = 3432198

Factors of 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618

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

Least Common Multiple of 2618 and 2622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2618 and 2622, than apply into the LCM equation.

GCF(2618,2622) = 2
LCM(2618,2622) = ( 2618 × 2622) / 2
LCM(2618,2622) = 6864396 / 2
LCM(2618,2622) = 3432198

Properties of LCM 2618 and 2622

(i) The LCM of 2622 and 2618 is associative

LCM of 2618 and 2622 = LCM of 2622 and 2618

Related Least Common Multiples of 2618

Related Least Common Multiples of 2622

Frequently Asked Questions on LCM of 2618 and 2622

1. What is the LCM of 2618 and 2622?

Answer: LCM of 2618 and 2622 is 3432198.

2. What are the Factors of 2618?

Answer: Factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618. There are 16 integers that are factors of 2618. The greatest factor of 2618 is 2618.

3. 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.

4. How to Find the LCM of 2618 and 2622?

Answer:

Least Common Multiple of 2618 and 2622 = 3432198

Step 1: Find the prime factorization of 2618

2618 = 2 x 7 x 11 x 17

Step 2: Find the prime factorization of 2622

2622 = 2 x 3 x 19 x 23

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

LCM = 3432198 = 2 x 3 x 7 x 11 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 2618 and 2622 is 3432198.