Least Common Multiple of 9718 and 9723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9718 and 9723 the smallest integer that is 94488114 that is divisible by both numbers.

Least Common Multiple (LCM) of 9718 and 9723 is 94488114.

LCM(9718,9723) = 94488114

LCM of 9718 and 9723

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

LCM of:
and

Least Common Multiple of 9718 and 9723

LCM of 9718 and 9723 is 94488114

Least common multiple can be found by multiplying the highest exponent prime factors of 9718 and 9723. First we will calculate the prime factors of 9718 and 9723.

Prime Factorization of 9718


2 9718
43 4859
113 113
1

Prime factors of 9718 are 2, 43,113. Prime factorization of 9718 in exponential form is:

9718 = 21×431×1131

Prime Factorization of 9723


3 9723
7 3241
463 463
1

Prime factors of 9723 are 3, 7,463. Prime factorization of 9723 in exponential form is:

9723 = 31×71×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 9718 and 9723.

LCM(9718,9723) = 21×31×71×431×1131×4631
LCM(9718,9723) = 94488114

Factors of 9718

List of positive integer factors of 9718 that divides 9718 without a remainder.

1, 2, 43, 86, 113, 226, 4859, 9718

Factors of 9723

List of positive integer factors of 9723 that divides 9723 without a remainder.

1, 3, 7, 21, 463, 1389, 3241, 9723

Least Common Multiple of 9718 and 9723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9718 and 9723, than apply into the LCM equation.

GCF(9718,9723) = 1
LCM(9718,9723) = ( 9718 × 9723) / 1
LCM(9718,9723) = 94488114 / 1
LCM(9718,9723) = 94488114

Properties of LCM 9718 and 9723

(i) The LCM of 9723 and 9718 is associative

LCM of 9718 and 9723 = LCM of 9723 and 9718

Related Least Common Multiples of 9718

Related Least Common Multiples of 9723

Frequently Asked Questions on LCM of 9718 and 9723

1. What is the LCM of 9718 and 9723?

Answer: LCM of 9718 and 9723 is 94488114.

2. What are the Factors of 9718?

Answer: Factors of 9718 are 1, 2, 43, 86, 113, 226, 4859, 9718. There are 8 integers that are factors of 9718. The greatest factor of 9718 is 9718.

3. What are the Factors of 9723?

Answer: Factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723. There are 8 integers that are factors of 9723. The greatest factor of 9723 is 9723.

4. How to Find the LCM of 9718 and 9723?

Answer:

Least Common Multiple of 9718 and 9723 = 94488114

Step 1: Find the prime factorization of 9718

9718 = 2 x 43 x 113

Step 2: Find the prime factorization of 9723

9723 = 3 x 7 x 463

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

LCM = 94488114 = 2 x 3 x 7 x 43 x 113 x 463

Step 4: Therefore, the least common multiple of 9718 and 9723 is 94488114.