Least Common Multiple of 4710 and 4711

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 4711 the smallest integer that is 22188810 that is divisible by both numbers.

Least Common Multiple (LCM) of 4710 and 4711 is 22188810.

LCM(4710,4711) = 22188810

LCM of 4710 and 4711

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

LCM of:
and

Least Common Multiple of 4710 and 4711

LCM of 4710 and 4711 is 22188810

Least common multiple can be found by multiplying the highest exponent prime factors of 4710 and 4711. First we will calculate the prime factors of 4710 and 4711.

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 4711


7 4711
673 673
1

Prime factors of 4711 are 7,673. Prime factorization of 4711 in exponential form is:

4711 = 71×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 4710 and 4711.

LCM(4710,4711) = 21×31×51×71×1571×6731
LCM(4710,4711) = 22188810

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 4711

List of positive integer factors of 4711 that divides 4711 without a remainder.

1, 7, 673, 4711

Least Common Multiple of 4710 and 4711 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 4711, than apply into the LCM equation.

GCF(4710,4711) = 1
LCM(4710,4711) = ( 4710 × 4711) / 1
LCM(4710,4711) = 22188810 / 1
LCM(4710,4711) = 22188810

Properties of LCM 4710 and 4711

(i) The LCM of 4711 and 4710 is associative

LCM of 4710 and 4711 = LCM of 4711 and 4710

Related Least Common Multiples of 4710

Related Least Common Multiples of 4711

Frequently Asked Questions on LCM of 4710 and 4711

1. What is the LCM of 4710 and 4711?

Answer: LCM of 4710 and 4711 is 22188810.

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 4711?

Answer: Factors of 4711 are 1, 7, 673, 4711. There are 4 integers that are factors of 4711. The greatest factor of 4711 is 4711.

4. How to Find the LCM of 4710 and 4711?

Answer:

Least Common Multiple of 4710 and 4711 = 22188810

Step 1: Find the prime factorization of 4710

4710 = 2 x 3 x 5 x 157

Step 2: Find the prime factorization of 4711

4711 = 7 x 673

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

LCM = 22188810 = 2 x 3 x 5 x 7 x 157 x 673

Step 4: Therefore, the least common multiple of 4710 and 4711 is 22188810.