Least Common Multiple of 714 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 714 and 719 the smallest integer that is 513366 that is divisible by both numbers.

Least Common Multiple (LCM) of 714 and 719 is 513366.

LCM(714,719) = 513366

LCM of 714 and 719

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

LCM of:
and

Least Common Multiple of 714 and 719

LCM of 714 and 719 is 513366

Least common multiple can be found by multiplying the highest exponent prime factors of 714 and 719. First we will calculate the prime factors of 714 and 719.

Prime Factorization of 714


2 714
3 357
7 119
17 17
1

Prime factors of 714 are 2, 3, 7,17. Prime factorization of 714 in exponential form is:

714 = 21×31×71×171

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 714 and 719.

LCM(714,719) = 21×31×71×171×7191
LCM(714,719) = 513366

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Factors of 719

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

1, 719

Least Common Multiple of 714 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 714 and 719, than apply into the LCM equation.

GCF(714,719) = 1
LCM(714,719) = ( 714 × 719) / 1
LCM(714,719) = 513366 / 1
LCM(714,719) = 513366

Properties of LCM 714 and 719

(i) The LCM of 719 and 714 is associative

LCM of 714 and 719 = LCM of 719 and 714

Related Least Common Multiples of 714

Related Least Common Multiples of 719

Frequently Asked Questions on LCM of 714 and 719

1. What is the LCM of 714 and 719?

Answer: LCM of 714 and 719 is 513366.

2. What are the Factors of 714?

Answer: Factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714. There are 16 integers that are factors of 714. The greatest factor of 714 is 714.

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 714 and 719?

Answer:

Least Common Multiple of 714 and 719 = 513366

Step 1: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

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 = 513366 = 2 x 3 x 7 x 17 x 719

Step 4: Therefore, the least common multiple of 714 and 719 is 513366.