Least Common Multiple of 719 and 727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 719 and 727 the smallest integer that is 522713 that is divisible by both numbers.

Least Common Multiple (LCM) of 719 and 727 is 522713.

LCM(719,727) = 522713

LCM of 719 and 727

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

LCM of:
and

Least Common Multiple of 719 and 727

LCM of 719 and 727 is 522713

Least common multiple can be found by multiplying the highest exponent prime factors of 719 and 727. First we will calculate the prime factors of 719 and 727.

Prime Factorization of 719


719 719
1

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

719 = 7191

Prime Factorization of 727


727 727
1

Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:

727 = 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 719 and 727.

LCM(719,727) = 7191×7271
LCM(719,727) = 522713

Factors of 719

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

1, 719

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1, 727

Least Common Multiple of 719 and 727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 719 and 727, than apply into the LCM equation.

GCF(719,727) = 1
LCM(719,727) = ( 719 × 727) / 1
LCM(719,727) = 522713 / 1
LCM(719,727) = 522713

Properties of LCM 719 and 727

(i) The LCM of 727 and 719 is associative

LCM of 719 and 727 = LCM of 727 and 719

Related Least Common Multiples of 719

Related Least Common Multiples of 727

Frequently Asked Questions on LCM of 719 and 727

1. What is the LCM of 719 and 727?

Answer: LCM of 719 and 727 is 522713.

2. 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.

3. What are the Factors of 727?

Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.

4. How to Find the LCM of 719 and 727?

Answer:

Least Common Multiple of 719 and 727 = 522713

Step 1: Find the prime factorization of 719

719 = 719

Step 2: Find the prime factorization of 727

727 = 727

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

LCM = 522713 = 719 x 727

Step 4: Therefore, the least common multiple of 719 and 727 is 522713.