Least Common Multiple of 6618 and 6623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6618 and 6623 the smallest integer that is 43831014 that is divisible by both numbers.

Least Common Multiple (LCM) of 6618 and 6623 is 43831014.

LCM(6618,6623) = 43831014

LCM of 6618 and 6623

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

LCM of:
and

Least Common Multiple of 6618 and 6623

LCM of 6618 and 6623 is 43831014

Least common multiple can be found by multiplying the highest exponent prime factors of 6618 and 6623. First we will calculate the prime factors of 6618 and 6623.

Prime Factorization of 6618


2 6618
3 3309
1103 1103
1

Prime factors of 6618 are 2, 3,1103. Prime factorization of 6618 in exponential form is:

6618 = 21×31×11031

Prime Factorization of 6623


37 6623
179 179
1

Prime factors of 6623 are 37,179. Prime factorization of 6623 in exponential form is:

6623 = 371×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6618 and 6623.

LCM(6618,6623) = 21×31×371×1791×11031
LCM(6618,6623) = 43831014

Factors of 6618

List of positive integer factors of 6618 that divides 6618 without a remainder.

1, 2, 3, 6, 1103, 2206, 3309, 6618

Factors of 6623

List of positive integer factors of 6623 that divides 6623 without a remainder.

1, 37, 179, 6623

Least Common Multiple of 6618 and 6623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6618 and 6623, than apply into the LCM equation.

GCF(6618,6623) = 1
LCM(6618,6623) = ( 6618 × 6623) / 1
LCM(6618,6623) = 43831014 / 1
LCM(6618,6623) = 43831014

Properties of LCM 6618 and 6623

(i) The LCM of 6623 and 6618 is associative

LCM of 6618 and 6623 = LCM of 6623 and 6618

Related Least Common Multiples of 6618

Related Least Common Multiples of 6623

Frequently Asked Questions on LCM of 6618 and 6623

1. What is the LCM of 6618 and 6623?

Answer: LCM of 6618 and 6623 is 43831014.

2. What are the Factors of 6618?

Answer: Factors of 6618 are 1, 2, 3, 6, 1103, 2206, 3309, 6618. There are 8 integers that are factors of 6618. The greatest factor of 6618 is 6618.

3. What are the Factors of 6623?

Answer: Factors of 6623 are 1, 37, 179, 6623. There are 4 integers that are factors of 6623. The greatest factor of 6623 is 6623.

4. How to Find the LCM of 6618 and 6623?

Answer:

Least Common Multiple of 6618 and 6623 = 43831014

Step 1: Find the prime factorization of 6618

6618 = 2 x 3 x 1103

Step 2: Find the prime factorization of 6623

6623 = 37 x 179

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

LCM = 43831014 = 2 x 3 x 37 x 179 x 1103

Step 4: Therefore, the least common multiple of 6618 and 6623 is 43831014.