Least Common Multiple of 718 and 719

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 719 the smallest integer that is 516242 that is divisible by both numbers.

Least Common Multiple (LCM) of 718 and 719 is 516242.

LCM(718,719) = 516242

LCM of 718 and 719

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

LCM of:
and

Least Common Multiple of 718 and 719

LCM of 718 and 719 is 516242

Least common multiple can be found by multiplying the highest exponent prime factors of 718 and 719. First we will calculate the prime factors of 718 and 719.

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 719


719 719
1

Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:

719 = 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 718 and 719.

LCM(718,719) = 21×3591×7191
LCM(718,719) = 516242

Factors of 718

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

1, 2, 359, 718

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1, 719

Least Common Multiple of 718 and 719 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 719, than apply into the LCM equation.

GCF(718,719) = 1
LCM(718,719) = ( 718 × 719) / 1
LCM(718,719) = 516242 / 1
LCM(718,719) = 516242

Properties of LCM 718 and 719

(i) The LCM of 719 and 718 is associative

LCM of 718 and 719 = LCM of 719 and 718

Related Least Common Multiples of 718

Related Least Common Multiples of 719

Frequently Asked Questions on LCM of 718 and 719

1. What is the LCM of 718 and 719?

Answer: LCM of 718 and 719 is 516242.

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 719?

Answer: Factors of 719 are 1, 719. There are 2 integers that are factors of 719. The greatest factor of 719 is 719.

4. How to Find the LCM of 718 and 719?

Answer:

Least Common Multiple of 718 and 719 = 516242

Step 1: Find the prime factorization of 718

718 = 2 x 359

Step 2: Find the prime factorization of 719

719 = 719

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

LCM = 516242 = 2 x 359 x 719

Step 4: Therefore, the least common multiple of 718 and 719 is 516242.