Least Common Multiple of 7718 and 7723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7718 and 7723 the smallest integer that is 59606114 that is divisible by both numbers.

Least Common Multiple (LCM) of 7718 and 7723 is 59606114.

LCM(7718,7723) = 59606114

LCM of 7718 and 7723

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

LCM of:
and

Least Common Multiple of 7718 and 7723

LCM of 7718 and 7723 is 59606114

Least common multiple can be found by multiplying the highest exponent prime factors of 7718 and 7723. First we will calculate the prime factors of 7718 and 7723.

Prime Factorization of 7718


2 7718
17 3859
227 227
1

Prime factors of 7718 are 2, 17,227. Prime factorization of 7718 in exponential form is:

7718 = 21×171×2271

Prime Factorization of 7723


7723 7723
1

Prime factors of 7723 are 7723. Prime factorization of 7723 in exponential form is:

7723 = 77231

Now multiplying the highest exponent prime factors to calculate the LCM of 7718 and 7723.

LCM(7718,7723) = 21×171×2271×77231
LCM(7718,7723) = 59606114

Factors of 7718

List of positive integer factors of 7718 that divides 7718 without a remainder.

1, 2, 17, 34, 227, 454, 3859, 7718

Factors of 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1, 7723

Least Common Multiple of 7718 and 7723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7718 and 7723, than apply into the LCM equation.

GCF(7718,7723) = 1
LCM(7718,7723) = ( 7718 × 7723) / 1
LCM(7718,7723) = 59606114 / 1
LCM(7718,7723) = 59606114

Properties of LCM 7718 and 7723

(i) The LCM of 7723 and 7718 is associative

LCM of 7718 and 7723 = LCM of 7723 and 7718

Related Least Common Multiples of 7718

Related Least Common Multiples of 7723

Frequently Asked Questions on LCM of 7718 and 7723

1. What is the LCM of 7718 and 7723?

Answer: LCM of 7718 and 7723 is 59606114.

2. What are the Factors of 7718?

Answer: Factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718. There are 8 integers that are factors of 7718. The greatest factor of 7718 is 7718.

3. What are the Factors of 7723?

Answer: Factors of 7723 are 1, 7723. There are 2 integers that are factors of 7723. The greatest factor of 7723 is 7723.

4. How to Find the LCM of 7718 and 7723?

Answer:

Least Common Multiple of 7718 and 7723 = 59606114

Step 1: Find the prime factorization of 7718

7718 = 2 x 17 x 227

Step 2: Find the prime factorization of 7723

7723 = 7723

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

LCM = 59606114 = 2 x 17 x 227 x 7723

Step 4: Therefore, the least common multiple of 7718 and 7723 is 59606114.