Least Common Multiple of 4709 and 4710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4709 and 4710 the smallest integer that is 22179390 that is divisible by both numbers.

Least Common Multiple (LCM) of 4709 and 4710 is 22179390.

LCM(4709,4710) = 22179390

LCM of 4709 and 4710

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

LCM of:
and

Least Common Multiple of 4709 and 4710

LCM of 4709 and 4710 is 22179390

Least common multiple can be found by multiplying the highest exponent prime factors of 4709 and 4710. First we will calculate the prime factors of 4709 and 4710.

Prime Factorization of 4709


17 4709
277 277
1

Prime factors of 4709 are 17,277. Prime factorization of 4709 in exponential form is:

4709 = 171×2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4710.

LCM(4709,4710) = 21×31×51×171×1571×2771
LCM(4709,4710) = 22179390

Factors of 4709

List of positive integer factors of 4709 that divides 4709 without a remainder.

1, 17, 277, 4709

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

Least Common Multiple of 4709 and 4710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4709 and 4710, than apply into the LCM equation.

GCF(4709,4710) = 1
LCM(4709,4710) = ( 4709 × 4710) / 1
LCM(4709,4710) = 22179390 / 1
LCM(4709,4710) = 22179390

Properties of LCM 4709 and 4710

(i) The LCM of 4710 and 4709 is associative

LCM of 4709 and 4710 = LCM of 4710 and 4709

Related Least Common Multiples of 4709

Related Least Common Multiples of 4710

Frequently Asked Questions on LCM of 4709 and 4710

1. What is the LCM of 4709 and 4710?

Answer: LCM of 4709 and 4710 is 22179390.

2. What are the Factors of 4709?

Answer: Factors of 4709 are 1, 17, 277, 4709. There are 4 integers that are factors of 4709. The greatest factor of 4709 is 4709.

3. 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.

4. How to Find the LCM of 4709 and 4710?

Answer:

Least Common Multiple of 4709 and 4710 = 22179390

Step 1: Find the prime factorization of 4709

4709 = 17 x 277

Step 2: Find the prime factorization of 4710

4710 = 2 x 3 x 5 x 157

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

LCM = 22179390 = 2 x 3 x 5 x 17 x 157 x 277

Step 4: Therefore, the least common multiple of 4709 and 4710 is 22179390.