Least Common Multiple of 715 and 723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 715 and 723 the smallest integer that is 516945 that is divisible by both numbers.

Least Common Multiple (LCM) of 715 and 723 is 516945.

LCM(715,723) = 516945

LCM of 715 and 723

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

LCM of:
and

Least Common Multiple of 715 and 723

LCM of 715 and 723 is 516945

Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 723. First we will calculate the prime factors of 715 and 723.

Prime Factorization of 715


5 715
11 143
13 13
1

Prime factors of 715 are 5, 11,13. Prime factorization of 715 in exponential form is:

715 = 51×111×131

Prime Factorization of 723


3 723
241 241
1

Prime factors of 723 are 3,241. Prime factorization of 723 in exponential form is:

723 = 31×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 715 and 723.

LCM(715,723) = 31×51×111×131×2411
LCM(715,723) = 516945

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Least Common Multiple of 715 and 723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 715 and 723, than apply into the LCM equation.

GCF(715,723) = 1
LCM(715,723) = ( 715 × 723) / 1
LCM(715,723) = 516945 / 1
LCM(715,723) = 516945

Properties of LCM 715 and 723

(i) The LCM of 723 and 715 is associative

LCM of 715 and 723 = LCM of 723 and 715

Related Least Common Multiples of 715

Related Least Common Multiples of 723

Frequently Asked Questions on LCM of 715 and 723

1. What is the LCM of 715 and 723?

Answer: LCM of 715 and 723 is 516945.

2. What are the Factors of 715?

Answer: Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. There are 8 integers that are factors of 715. The greatest factor of 715 is 715.

3. What are the Factors of 723?

Answer: Factors of 723 are 1, 3, 241, 723. There are 4 integers that are factors of 723. The greatest factor of 723 is 723.

4. How to Find the LCM of 715 and 723?

Answer:

Least Common Multiple of 715 and 723 = 516945

Step 1: Find the prime factorization of 715

715 = 5 x 11 x 13

Step 2: Find the prime factorization of 723

723 = 3 x 241

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

LCM = 516945 = 3 x 5 x 11 x 13 x 241

Step 4: Therefore, the least common multiple of 715 and 723 is 516945.