Least Common Multiple of 2618 and 2623

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 2623 the smallest integer that is 6867014 that is divisible by both numbers.

Least Common Multiple (LCM) of 2618 and 2623 is 6867014.

LCM(2618,2623) = 6867014

LCM of 2618 and 2623

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

LCM of:
and

Least Common Multiple of 2618 and 2623

LCM of 2618 and 2623 is 6867014

Least common multiple can be found by multiplying the highest exponent prime factors of 2618 and 2623. First we will calculate the prime factors of 2618 and 2623.

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 2623


43 2623
61 61
1

Prime factors of 2623 are 43,61. Prime factorization of 2623 in exponential form is:

2623 = 431×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2618 and 2623.

LCM(2618,2623) = 21×71×111×171×431×611
LCM(2618,2623) = 6867014

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 2623

List of positive integer factors of 2623 that divides 2623 without a remainder.

1, 43, 61, 2623

Least Common Multiple of 2618 and 2623 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 2623, than apply into the LCM equation.

GCF(2618,2623) = 1
LCM(2618,2623) = ( 2618 × 2623) / 1
LCM(2618,2623) = 6867014 / 1
LCM(2618,2623) = 6867014

Properties of LCM 2618 and 2623

(i) The LCM of 2623 and 2618 is associative

LCM of 2618 and 2623 = LCM of 2623 and 2618

Related Least Common Multiples of 2618

Related Least Common Multiples of 2623

Frequently Asked Questions on LCM of 2618 and 2623

1. What is the LCM of 2618 and 2623?

Answer: LCM of 2618 and 2623 is 6867014.

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 2623?

Answer: Factors of 2623 are 1, 43, 61, 2623. There are 4 integers that are factors of 2623. The greatest factor of 2623 is 2623.

4. How to Find the LCM of 2618 and 2623?

Answer:

Least Common Multiple of 2618 and 2623 = 6867014

Step 1: Find the prime factorization of 2618

2618 = 2 x 7 x 11 x 17

Step 2: Find the prime factorization of 2623

2623 = 43 x 61

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

LCM = 6867014 = 2 x 7 x 11 x 17 x 43 x 61

Step 4: Therefore, the least common multiple of 2618 and 2623 is 6867014.