Least Common Multiple of 718 and 724

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 724 the smallest integer that is 259916 that is divisible by both numbers.

Least Common Multiple (LCM) of 718 and 724 is 259916.

LCM(718,724) = 259916

LCM of 718 and 724

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

LCM of:
and

Least Common Multiple of 718 and 724

LCM of 718 and 724 is 259916

Least common multiple can be found by multiplying the highest exponent prime factors of 718 and 724. First we will calculate the prime factors of 718 and 724.

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 724


2 724
2 362
181 181
1

Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:

724 = 22×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 718 and 724.

LCM(718,724) = 22×1811×3591
LCM(718,724) = 259916

Factors of 718

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

1, 2, 359, 718

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Least Common Multiple of 718 and 724 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 724, than apply into the LCM equation.

GCF(718,724) = 2
LCM(718,724) = ( 718 × 724) / 2
LCM(718,724) = 519832 / 2
LCM(718,724) = 259916

Properties of LCM 718 and 724

(i) The LCM of 724 and 718 is associative

LCM of 718 and 724 = LCM of 724 and 718

Related Least Common Multiples of 718

Related Least Common Multiples of 724

Frequently Asked Questions on LCM of 718 and 724

1. What is the LCM of 718 and 724?

Answer: LCM of 718 and 724 is 259916.

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 724?

Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.

4. How to Find the LCM of 718 and 724?

Answer:

Least Common Multiple of 718 and 724 = 259916

Step 1: Find the prime factorization of 718

718 = 2 x 359

Step 2: Find the prime factorization of 724

724 = 2 x 2 x 181

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

LCM = 259916 = 2 x 2 x 181 x 359

Step 4: Therefore, the least common multiple of 718 and 724 is 259916.