Least Common Multiple of 4766 and 4770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4766 and 4770 the smallest integer that is 11366910 that is divisible by both numbers.

Least Common Multiple (LCM) of 4766 and 4770 is 11366910.

LCM(4766,4770) = 11366910

LCM of 4766 and 4770

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

LCM of:
and

Least Common Multiple of 4766 and 4770

LCM of 4766 and 4770 is 11366910

Least common multiple can be found by multiplying the highest exponent prime factors of 4766 and 4770. First we will calculate the prime factors of 4766 and 4770.

Prime Factorization of 4766


2 4766
2383 2383
1

Prime factors of 4766 are 2,2383. Prime factorization of 4766 in exponential form is:

4766 = 21×23831

Prime Factorization of 4770


2 4770
3 2385
3 795
5 265
53 53
1

Prime factors of 4770 are 2, 3, 5,53. Prime factorization of 4770 in exponential form is:

4770 = 21×32×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4766 and 4770.

LCM(4766,4770) = 21×32×51×531×23831
LCM(4766,4770) = 11366910

Factors of 4766

List of positive integer factors of 4766 that divides 4766 without a remainder.

1, 2, 2383, 4766

Factors of 4770

List of positive integer factors of 4770 that divides 4770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770

Least Common Multiple of 4766 and 4770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4766 and 4770, than apply into the LCM equation.

GCF(4766,4770) = 2
LCM(4766,4770) = ( 4766 × 4770) / 2
LCM(4766,4770) = 22733820 / 2
LCM(4766,4770) = 11366910

Properties of LCM 4766 and 4770

(i) The LCM of 4770 and 4766 is associative

LCM of 4766 and 4770 = LCM of 4770 and 4766

Related Least Common Multiples of 4766

Related Least Common Multiples of 4770

Frequently Asked Questions on LCM of 4766 and 4770

1. What is the LCM of 4766 and 4770?

Answer: LCM of 4766 and 4770 is 11366910.

2. What are the Factors of 4766?

Answer: Factors of 4766 are 1, 2, 2383, 4766. There are 4 integers that are factors of 4766. The greatest factor of 4766 is 4766.

3. What are the Factors of 4770?

Answer: Factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770. There are 24 integers that are factors of 4770. The greatest factor of 4770 is 4770.

4. How to Find the LCM of 4766 and 4770?

Answer:

Least Common Multiple of 4766 and 4770 = 11366910

Step 1: Find the prime factorization of 4766

4766 = 2 x 2383

Step 2: Find the prime factorization of 4770

4770 = 2 x 3 x 3 x 5 x 53

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

LCM = 11366910 = 2 x 3 x 3 x 5 x 53 x 2383

Step 4: Therefore, the least common multiple of 4766 and 4770 is 11366910.