Least Common Multiple of 4714 and 4718

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 4718 the smallest integer that is 11120326 that is divisible by both numbers.

Least Common Multiple (LCM) of 4714 and 4718 is 11120326.

LCM(4714,4718) = 11120326

LCM of 4714 and 4718

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

LCM of:
and

Least Common Multiple of 4714 and 4718

LCM of 4714 and 4718 is 11120326

Least common multiple can be found by multiplying the highest exponent prime factors of 4714 and 4718. First we will calculate the prime factors of 4714 and 4718.

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 4718


2 4718
7 2359
337 337
1

Prime factors of 4718 are 2, 7,337. Prime factorization of 4718 in exponential form is:

4718 = 21×71×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 4714 and 4718.

LCM(4714,4718) = 21×71×3371×23571
LCM(4714,4718) = 11120326

Factors of 4714

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

1, 2, 2357, 4714

Factors of 4718

List of positive integer factors of 4718 that divides 4718 without a remainder.

1, 2, 7, 14, 337, 674, 2359, 4718

Least Common Multiple of 4714 and 4718 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 4718, than apply into the LCM equation.

GCF(4714,4718) = 2
LCM(4714,4718) = ( 4714 × 4718) / 2
LCM(4714,4718) = 22240652 / 2
LCM(4714,4718) = 11120326

Properties of LCM 4714 and 4718

(i) The LCM of 4718 and 4714 is associative

LCM of 4714 and 4718 = LCM of 4718 and 4714

Related Least Common Multiples of 4714

Related Least Common Multiples of 4718

Frequently Asked Questions on LCM of 4714 and 4718

1. What is the LCM of 4714 and 4718?

Answer: LCM of 4714 and 4718 is 11120326.

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 4718?

Answer: Factors of 4718 are 1, 2, 7, 14, 337, 674, 2359, 4718. There are 8 integers that are factors of 4718. The greatest factor of 4718 is 4718.

4. How to Find the LCM of 4714 and 4718?

Answer:

Least Common Multiple of 4714 and 4718 = 11120326

Step 1: Find the prime factorization of 4714

4714 = 2 x 2357

Step 2: Find the prime factorization of 4718

4718 = 2 x 7 x 337

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

LCM = 11120326 = 2 x 7 x 337 x 2357

Step 4: Therefore, the least common multiple of 4714 and 4718 is 11120326.