Least Common Multiple of 4706 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 4706 and 4710 the smallest integer that is 11082630 that is divisible by both numbers.

Least Common Multiple (LCM) of 4706 and 4710 is 11082630.

LCM(4706,4710) = 11082630

LCM of 4706 and 4710

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

LCM of:
and

Least Common Multiple of 4706 and 4710

LCM of 4706 and 4710 is 11082630

Least common multiple can be found by multiplying the highest exponent prime factors of 4706 and 4710. First we will calculate the prime factors of 4706 and 4710.

Prime Factorization of 4706


2 4706
13 2353
181 181
1

Prime factors of 4706 are 2, 13,181. Prime factorization of 4706 in exponential form is:

4706 = 21×131×1811

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 4706 and 4710.

LCM(4706,4710) = 21×31×51×131×1571×1811
LCM(4706,4710) = 11082630

Factors of 4706

List of positive integer factors of 4706 that divides 4706 without a remainder.

1, 2, 13, 26, 181, 362, 2353, 4706

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 4706 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 4706 and 4710, than apply into the LCM equation.

GCF(4706,4710) = 2
LCM(4706,4710) = ( 4706 × 4710) / 2
LCM(4706,4710) = 22165260 / 2
LCM(4706,4710) = 11082630

Properties of LCM 4706 and 4710

(i) The LCM of 4710 and 4706 is associative

LCM of 4706 and 4710 = LCM of 4710 and 4706

Related Least Common Multiples of 4706

Related Least Common Multiples of 4710

Frequently Asked Questions on LCM of 4706 and 4710

1. What is the LCM of 4706 and 4710?

Answer: LCM of 4706 and 4710 is 11082630.

2. What are the Factors of 4706?

Answer: Factors of 4706 are 1, 2, 13, 26, 181, 362, 2353, 4706. There are 8 integers that are factors of 4706. The greatest factor of 4706 is 4706.

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 4706 and 4710?

Answer:

Least Common Multiple of 4706 and 4710 = 11082630

Step 1: Find the prime factorization of 4706

4706 = 2 x 13 x 181

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 = 11082630 = 2 x 3 x 5 x 13 x 157 x 181

Step 4: Therefore, the least common multiple of 4706 and 4710 is 11082630.