Least Common Multiple of 7618 and 7623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7618 and 7623 the smallest integer that is 58072014 that is divisible by both numbers.

Least Common Multiple (LCM) of 7618 and 7623 is 58072014.

LCM(7618,7623) = 58072014

LCM of 7618 and 7623

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

LCM of:
and

Least Common Multiple of 7618 and 7623

LCM of 7618 and 7623 is 58072014

Least common multiple can be found by multiplying the highest exponent prime factors of 7618 and 7623. First we will calculate the prime factors of 7618 and 7623.

Prime Factorization of 7618


2 7618
13 3809
293 293
1

Prime factors of 7618 are 2, 13,293. Prime factorization of 7618 in exponential form is:

7618 = 21×131×2931

Prime Factorization of 7623


3 7623
3 2541
7 847
11 121
11 11
1

Prime factors of 7623 are 3, 7,11. Prime factorization of 7623 in exponential form is:

7623 = 32×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 7618 and 7623.

LCM(7618,7623) = 21×32×71×112×131×2931
LCM(7618,7623) = 58072014

Factors of 7618

List of positive integer factors of 7618 that divides 7618 without a remainder.

1, 2, 13, 26, 293, 586, 3809, 7618

Factors of 7623

List of positive integer factors of 7623 that divides 7623 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623

Least Common Multiple of 7618 and 7623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7618 and 7623, than apply into the LCM equation.

GCF(7618,7623) = 1
LCM(7618,7623) = ( 7618 × 7623) / 1
LCM(7618,7623) = 58072014 / 1
LCM(7618,7623) = 58072014

Properties of LCM 7618 and 7623

(i) The LCM of 7623 and 7618 is associative

LCM of 7618 and 7623 = LCM of 7623 and 7618

Related Least Common Multiples of 7618

Related Least Common Multiples of 7623

Frequently Asked Questions on LCM of 7618 and 7623

1. What is the LCM of 7618 and 7623?

Answer: LCM of 7618 and 7623 is 58072014.

2. What are the Factors of 7618?

Answer: Factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618. There are 8 integers that are factors of 7618. The greatest factor of 7618 is 7618.

3. What are the Factors of 7623?

Answer: Factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623. There are 18 integers that are factors of 7623. The greatest factor of 7623 is 7623.

4. How to Find the LCM of 7618 and 7623?

Answer:

Least Common Multiple of 7618 and 7623 = 58072014

Step 1: Find the prime factorization of 7618

7618 = 2 x 13 x 293

Step 2: Find the prime factorization of 7623

7623 = 3 x 3 x 7 x 11 x 11

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

LCM = 58072014 = 2 x 3 x 3 x 7 x 11 x 11 x 13 x 293

Step 4: Therefore, the least common multiple of 7618 and 7623 is 58072014.