Least Common Multiple of 4710 and 4714

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 4714 the smallest integer that is 11101470 that is divisible by both numbers.

Least Common Multiple (LCM) of 4710 and 4714 is 11101470.

LCM(4710,4714) = 11101470

LCM of 4710 and 4714

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

LCM of:
and

Least Common Multiple of 4710 and 4714

LCM of 4710 and 4714 is 11101470

Least common multiple can be found by multiplying the highest exponent prime factors of 4710 and 4714. First we will calculate the prime factors of 4710 and 4714.

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 4714


2 4714
2357 2357
1

Prime factors of 4714 are 2,2357. Prime factorization of 4714 in exponential form is:

4714 = 21×23571

Now multiplying the highest exponent prime factors to calculate the LCM of 4710 and 4714.

LCM(4710,4714) = 21×31×51×1571×23571
LCM(4710,4714) = 11101470

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 4714

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

1, 2, 2357, 4714

Least Common Multiple of 4710 and 4714 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 4714, than apply into the LCM equation.

GCF(4710,4714) = 2
LCM(4710,4714) = ( 4710 × 4714) / 2
LCM(4710,4714) = 22202940 / 2
LCM(4710,4714) = 11101470

Properties of LCM 4710 and 4714

(i) The LCM of 4714 and 4710 is associative

LCM of 4710 and 4714 = LCM of 4714 and 4710

Related Least Common Multiples of 4710

Related Least Common Multiples of 4714

Frequently Asked Questions on LCM of 4710 and 4714

1. What is the LCM of 4710 and 4714?

Answer: LCM of 4710 and 4714 is 11101470.

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 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.

4. How to Find the LCM of 4710 and 4714?

Answer:

Least Common Multiple of 4710 and 4714 = 11101470

Step 1: Find the prime factorization of 4710

4710 = 2 x 3 x 5 x 157

Step 2: Find the prime factorization of 4714

4714 = 2 x 2357

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

LCM = 11101470 = 2 x 3 x 5 x 157 x 2357

Step 4: Therefore, the least common multiple of 4710 and 4714 is 11101470.