Least Common Multiple of 4714 and 4722

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 4722 the smallest integer that is 11129754 that is divisible by both numbers.

Least Common Multiple (LCM) of 4714 and 4722 is 11129754.

LCM(4714,4722) = 11129754

LCM of 4714 and 4722

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

LCM of:
and

Least Common Multiple of 4714 and 4722

LCM of 4714 and 4722 is 11129754

Least common multiple can be found by multiplying the highest exponent prime factors of 4714 and 4722. First we will calculate the prime factors of 4714 and 4722.

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 4722


2 4722
3 2361
787 787
1

Prime factors of 4722 are 2, 3,787. Prime factorization of 4722 in exponential form is:

4722 = 21×31×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 4714 and 4722.

LCM(4714,4722) = 21×31×7871×23571
LCM(4714,4722) = 11129754

Factors of 4714

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

1, 2, 2357, 4714

Factors of 4722

List of positive integer factors of 4722 that divides 4722 without a remainder.

1, 2, 3, 6, 787, 1574, 2361, 4722

Least Common Multiple of 4714 and 4722 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 4722, than apply into the LCM equation.

GCF(4714,4722) = 2
LCM(4714,4722) = ( 4714 × 4722) / 2
LCM(4714,4722) = 22259508 / 2
LCM(4714,4722) = 11129754

Properties of LCM 4714 and 4722

(i) The LCM of 4722 and 4714 is associative

LCM of 4714 and 4722 = LCM of 4722 and 4714

Related Least Common Multiples of 4714

Related Least Common Multiples of 4722

Frequently Asked Questions on LCM of 4714 and 4722

1. What is the LCM of 4714 and 4722?

Answer: LCM of 4714 and 4722 is 11129754.

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 4722?

Answer: Factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722. There are 8 integers that are factors of 4722. The greatest factor of 4722 is 4722.

4. How to Find the LCM of 4714 and 4722?

Answer:

Least Common Multiple of 4714 and 4722 = 11129754

Step 1: Find the prime factorization of 4714

4714 = 2 x 2357

Step 2: Find the prime factorization of 4722

4722 = 2 x 3 x 787

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

LCM = 11129754 = 2 x 3 x 787 x 2357

Step 4: Therefore, the least common multiple of 4714 and 4722 is 11129754.