Least Common Multiple of 4714 and 4719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4714 and 4719 the smallest integer that is 22245366 that is divisible by both numbers.

Least Common Multiple (LCM) of 4714 and 4719 is 22245366.

LCM(4714,4719) = 22245366

LCM of 4714 and 4719

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

LCM of:
and

Least Common Multiple of 4714 and 4719

LCM of 4714 and 4719 is 22245366

Least common multiple can be found by multiplying the highest exponent prime factors of 4714 and 4719. First we will calculate the prime factors of 4714 and 4719.

Prime Factorization of 4714


2 4714
2357 2357
1

Prime factors of 4714 are 2,2357. Prime factorization of 4714 in exponential form is:

4714 = 21×23571

Prime Factorization of 4719


3 4719
11 1573
11 143
13 13
1

Prime factors of 4719 are 3, 11,13. Prime factorization of 4719 in exponential form is:

4719 = 31×112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4714 and 4719.

LCM(4714,4719) = 21×31×112×131×23571
LCM(4714,4719) = 22245366

Factors of 4714

List of positive integer factors of 4714 that divides 4714 without a remainder.

1, 2, 2357, 4714

Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719

Least Common Multiple of 4714 and 4719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4714 and 4719, than apply into the LCM equation.

GCF(4714,4719) = 1
LCM(4714,4719) = ( 4714 × 4719) / 1
LCM(4714,4719) = 22245366 / 1
LCM(4714,4719) = 22245366

Properties of LCM 4714 and 4719

(i) The LCM of 4719 and 4714 is associative

LCM of 4714 and 4719 = LCM of 4719 and 4714

Related Least Common Multiples of 4714

Related Least Common Multiples of 4719

Frequently Asked Questions on LCM of 4714 and 4719

1. What is the LCM of 4714 and 4719?

Answer: LCM of 4714 and 4719 is 22245366.

2. What are the Factors of 4714?

Answer: Factors of 4714 are 1, 2, 2357, 4714. There are 4 integers that are factors of 4714. The greatest factor of 4714 is 4714.

3. What are the Factors of 4719?

Answer: Factors of 4719 are 1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719. There are 12 integers that are factors of 4719. The greatest factor of 4719 is 4719.

4. How to Find the LCM of 4714 and 4719?

Answer:

Least Common Multiple of 4714 and 4719 = 22245366

Step 1: Find the prime factorization of 4714

4714 = 2 x 2357

Step 2: Find the prime factorization of 4719

4719 = 3 x 11 x 11 x 13

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

LCM = 22245366 = 2 x 3 x 11 x 11 x 13 x 2357

Step 4: Therefore, the least common multiple of 4714 and 4719 is 22245366.