Least Common Multiple of 4770 and 4774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4770 and 4774 the smallest integer that is 11385990 that is divisible by both numbers.

Least Common Multiple (LCM) of 4770 and 4774 is 11385990.

LCM(4770,4774) = 11385990

LCM of 4770 and 4774

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

LCM of:
and

Least Common Multiple of 4770 and 4774

LCM of 4770 and 4774 is 11385990

Least common multiple can be found by multiplying the highest exponent prime factors of 4770 and 4774. First we will calculate the prime factors of 4770 and 4774.

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

Prime Factorization of 4774


2 4774
7 2387
11 341
31 31
1

Prime factors of 4774 are 2, 7, 11,31. Prime factorization of 4774 in exponential form is:

4774 = 21×71×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4770 and 4774.

LCM(4770,4774) = 21×32×51×71×111×311×531
LCM(4770,4774) = 11385990

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

Factors of 4774

List of positive integer factors of 4774 that divides 4774 without a remainder.

1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774

Least Common Multiple of 4770 and 4774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4770 and 4774, than apply into the LCM equation.

GCF(4770,4774) = 2
LCM(4770,4774) = ( 4770 × 4774) / 2
LCM(4770,4774) = 22771980 / 2
LCM(4770,4774) = 11385990

Properties of LCM 4770 and 4774

(i) The LCM of 4774 and 4770 is associative

LCM of 4770 and 4774 = LCM of 4774 and 4770

Related Least Common Multiples of 4770

Related Least Common Multiples of 4774

Frequently Asked Questions on LCM of 4770 and 4774

1. What is the LCM of 4770 and 4774?

Answer: LCM of 4770 and 4774 is 11385990.

2. 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.

3. What are the Factors of 4774?

Answer: Factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774. There are 16 integers that are factors of 4774. The greatest factor of 4774 is 4774.

4. How to Find the LCM of 4770 and 4774?

Answer:

Least Common Multiple of 4770 and 4774 = 11385990

Step 1: Find the prime factorization of 4770

4770 = 2 x 3 x 3 x 5 x 53

Step 2: Find the prime factorization of 4774

4774 = 2 x 7 x 11 x 31

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

LCM = 11385990 = 2 x 3 x 3 x 5 x 7 x 11 x 31 x 53

Step 4: Therefore, the least common multiple of 4770 and 4774 is 11385990.