Least Common Multiple of 718 and 721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 718 and 721 the smallest integer that is 517678 that is divisible by both numbers.

Least Common Multiple (LCM) of 718 and 721 is 517678.

LCM(718,721) = 517678

LCM of 718 and 721

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

LCM of:
and

Least Common Multiple of 718 and 721

LCM of 718 and 721 is 517678

Least common multiple can be found by multiplying the highest exponent prime factors of 718 and 721. First we will calculate the prime factors of 718 and 721.

Prime Factorization of 718


2 718
359 359
1

Prime factors of 718 are 2,359. Prime factorization of 718 in exponential form is:

718 = 21×3591

Prime Factorization of 721


7 721
103 103
1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 718 and 721.

LCM(718,721) = 21×71×1031×3591
LCM(718,721) = 517678

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Least Common Multiple of 718 and 721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 718 and 721, than apply into the LCM equation.

GCF(718,721) = 1
LCM(718,721) = ( 718 × 721) / 1
LCM(718,721) = 517678 / 1
LCM(718,721) = 517678

Properties of LCM 718 and 721

(i) The LCM of 721 and 718 is associative

LCM of 718 and 721 = LCM of 721 and 718

Related Least Common Multiples of 718

Related Least Common Multiples of 721

Frequently Asked Questions on LCM of 718 and 721

1. What is the LCM of 718 and 721?

Answer: LCM of 718 and 721 is 517678.

2. What are the Factors of 718?

Answer: Factors of 718 are 1, 2, 359, 718. There are 4 integers that are factors of 718. The greatest factor of 718 is 718.

3. What are the Factors of 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

4. How to Find the LCM of 718 and 721?

Answer:

Least Common Multiple of 718 and 721 = 517678

Step 1: Find the prime factorization of 718

718 = 2 x 359

Step 2: Find the prime factorization of 721

721 = 7 x 103

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

LCM = 517678 = 2 x 7 x 103 x 359

Step 4: Therefore, the least common multiple of 718 and 721 is 517678.