Least Common Multiple of 4710 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 4710 and 4717 the smallest integer that is 22217070 that is divisible by both numbers.

Least Common Multiple (LCM) of 4710 and 4717 is 22217070.

LCM(4710,4717) = 22217070

LCM of 4710 and 4717

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

LCM of:
and

Least Common Multiple of 4710 and 4717

LCM of 4710 and 4717 is 22217070

Least common multiple can be found by multiplying the highest exponent prime factors of 4710 and 4717. First we will calculate the prime factors of 4710 and 4717.

Prime Factorization of 4710


2 4710
3 2355
5 785
157 157
1

Prime factors of 4710 are 2, 3, 5,157. Prime factorization of 4710 in exponential form is:

4710 = 21×31×51×1571

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 4710 and 4717.

LCM(4710,4717) = 21×31×51×531×891×1571
LCM(4710,4717) = 22217070

Factors of 4710

List of positive integer factors of 4710 that divides 4710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710

Factors of 4717

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

1, 53, 89, 4717

Least Common Multiple of 4710 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 4710 and 4717, than apply into the LCM equation.

GCF(4710,4717) = 1
LCM(4710,4717) = ( 4710 × 4717) / 1
LCM(4710,4717) = 22217070 / 1
LCM(4710,4717) = 22217070

Properties of LCM 4710 and 4717

(i) The LCM of 4717 and 4710 is associative

LCM of 4710 and 4717 = LCM of 4717 and 4710

Related Least Common Multiples of 4710

Related Least Common Multiples of 4717

Frequently Asked Questions on LCM of 4710 and 4717

1. What is the LCM of 4710 and 4717?

Answer: LCM of 4710 and 4717 is 22217070.

2. What are the Factors of 4710?

Answer: Factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710. There are 16 integers that are factors of 4710. The greatest factor of 4710 is 4710.

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 4710 and 4717?

Answer:

Least Common Multiple of 4710 and 4717 = 22217070

Step 1: Find the prime factorization of 4710

4710 = 2 x 3 x 5 x 157

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 = 22217070 = 2 x 3 x 5 x 53 x 89 x 157

Step 4: Therefore, the least common multiple of 4710 and 4717 is 22217070.