Least Common Multiple of 4766 and 4772

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 4772 the smallest integer that is 11371676 that is divisible by both numbers.

Least Common Multiple (LCM) of 4766 and 4772 is 11371676.

LCM(4766,4772) = 11371676

LCM of 4766 and 4772

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

LCM of:
and

Least Common Multiple of 4766 and 4772

LCM of 4766 and 4772 is 11371676

Least common multiple can be found by multiplying the highest exponent prime factors of 4766 and 4772. First we will calculate the prime factors of 4766 and 4772.

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 4772


2 4772
2 2386
1193 1193
1

Prime factors of 4772 are 2,1193. Prime factorization of 4772 in exponential form is:

4772 = 22×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 4766 and 4772.

LCM(4766,4772) = 22×11931×23831
LCM(4766,4772) = 11371676

Factors of 4766

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

1, 2, 2383, 4766

Factors of 4772

List of positive integer factors of 4772 that divides 4772 without a remainder.

1, 2, 4, 1193, 2386, 4772

Least Common Multiple of 4766 and 4772 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 4772, than apply into the LCM equation.

GCF(4766,4772) = 2
LCM(4766,4772) = ( 4766 × 4772) / 2
LCM(4766,4772) = 22743352 / 2
LCM(4766,4772) = 11371676

Properties of LCM 4766 and 4772

(i) The LCM of 4772 and 4766 is associative

LCM of 4766 and 4772 = LCM of 4772 and 4766

Related Least Common Multiples of 4766

Related Least Common Multiples of 4772

Frequently Asked Questions on LCM of 4766 and 4772

1. What is the LCM of 4766 and 4772?

Answer: LCM of 4766 and 4772 is 11371676.

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 4772?

Answer: Factors of 4772 are 1, 2, 4, 1193, 2386, 4772. There are 6 integers that are factors of 4772. The greatest factor of 4772 is 4772.

4. How to Find the LCM of 4766 and 4772?

Answer:

Least Common Multiple of 4766 and 4772 = 11371676

Step 1: Find the prime factorization of 4766

4766 = 2 x 2383

Step 2: Find the prime factorization of 4772

4772 = 2 x 2 x 1193

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

LCM = 11371676 = 2 x 2 x 1193 x 2383

Step 4: Therefore, the least common multiple of 4766 and 4772 is 11371676.