Least Common Multiple of 4767 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 4767 and 4770 the smallest integer that is 7579530 that is divisible by both numbers.

Least Common Multiple (LCM) of 4767 and 4770 is 7579530.

LCM(4767,4770) = 7579530

LCM of 4767 and 4770

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

LCM of:
and

Least Common Multiple of 4767 and 4770

LCM of 4767 and 4770 is 7579530

Least common multiple can be found by multiplying the highest exponent prime factors of 4767 and 4770. First we will calculate the prime factors of 4767 and 4770.

Prime Factorization of 4767


3 4767
7 1589
227 227
1

Prime factors of 4767 are 3, 7,227. Prime factorization of 4767 in exponential form is:

4767 = 31×71×2271

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 4767 and 4770.

LCM(4767,4770) = 21×32×51×71×531×2271
LCM(4767,4770) = 7579530

Factors of 4767

List of positive integer factors of 4767 that divides 4767 without a remainder.

1, 3, 7, 21, 227, 681, 1589, 4767

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 4767 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 4767 and 4770, than apply into the LCM equation.

GCF(4767,4770) = 3
LCM(4767,4770) = ( 4767 × 4770) / 3
LCM(4767,4770) = 22738590 / 3
LCM(4767,4770) = 7579530

Properties of LCM 4767 and 4770

(i) The LCM of 4770 and 4767 is associative

LCM of 4767 and 4770 = LCM of 4770 and 4767

Related Least Common Multiples of 4767

Related Least Common Multiples of 4770

Frequently Asked Questions on LCM of 4767 and 4770

1. What is the LCM of 4767 and 4770?

Answer: LCM of 4767 and 4770 is 7579530.

2. What are the Factors of 4767?

Answer: Factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767. There are 8 integers that are factors of 4767. The greatest factor of 4767 is 4767.

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 4767 and 4770?

Answer:

Least Common Multiple of 4767 and 4770 = 7579530

Step 1: Find the prime factorization of 4767

4767 = 3 x 7 x 227

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 = 7579530 = 2 x 3 x 3 x 5 x 7 x 53 x 227

Step 4: Therefore, the least common multiple of 4767 and 4770 is 7579530.