Least Common Multiple of 4716 and 4717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4716 and 4717 the smallest integer that is 22245372 that is divisible by both numbers.

Least Common Multiple (LCM) of 4716 and 4717 is 22245372.

LCM(4716,4717) = 22245372

LCM of 4716 and 4717

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

LCM of:
and

Least Common Multiple of 4716 and 4717

LCM of 4716 and 4717 is 22245372

Least common multiple can be found by multiplying the highest exponent prime factors of 4716 and 4717. First we will calculate the prime factors of 4716 and 4717.

Prime Factorization of 4716


2 4716
2 2358
3 1179
3 393
131 131
1

Prime factors of 4716 are 2, 3,131. Prime factorization of 4716 in exponential form is:

4716 = 22×32×1311

Prime Factorization of 4717


53 4717
89 89
1

Prime factors of 4717 are 53,89. Prime factorization of 4717 in exponential form is:

4717 = 531×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4716 and 4717.

LCM(4716,4717) = 22×32×531×891×1311
LCM(4716,4717) = 22245372

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716

Factors of 4717

List of positive integer factors of 4717 that divides 4717 without a remainder.

1, 53, 89, 4717

Least Common Multiple of 4716 and 4717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4716 and 4717, than apply into the LCM equation.

GCF(4716,4717) = 1
LCM(4716,4717) = ( 4716 × 4717) / 1
LCM(4716,4717) = 22245372 / 1
LCM(4716,4717) = 22245372

Properties of LCM 4716 and 4717

(i) The LCM of 4717 and 4716 is associative

LCM of 4716 and 4717 = LCM of 4717 and 4716

Related Least Common Multiples of 4716

Related Least Common Multiples of 4717

Frequently Asked Questions on LCM of 4716 and 4717

1. What is the LCM of 4716 and 4717?

Answer: LCM of 4716 and 4717 is 22245372.

2. What are the Factors of 4716?

Answer: Factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716. There are 18 integers that are factors of 4716. The greatest factor of 4716 is 4716.

3. What are the Factors of 4717?

Answer: Factors of 4717 are 1, 53, 89, 4717. There are 4 integers that are factors of 4717. The greatest factor of 4717 is 4717.

4. How to Find the LCM of 4716 and 4717?

Answer:

Least Common Multiple of 4716 and 4717 = 22245372

Step 1: Find the prime factorization of 4716

4716 = 2 x 2 x 3 x 3 x 131

Step 2: Find the prime factorization of 4717

4717 = 53 x 89

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

LCM = 22245372 = 2 x 2 x 3 x 3 x 53 x 89 x 131

Step 4: Therefore, the least common multiple of 4716 and 4717 is 22245372.