Least Common Multiple of 4772 and 4778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4772 and 4778 the smallest integer that is 11400308 that is divisible by both numbers.

Least Common Multiple (LCM) of 4772 and 4778 is 11400308.

LCM(4772,4778) = 11400308

LCM of 4772 and 4778

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

LCM of:
and

Least Common Multiple of 4772 and 4778

LCM of 4772 and 4778 is 11400308

Least common multiple can be found by multiplying the highest exponent prime factors of 4772 and 4778. First we will calculate the prime factors of 4772 and 4778.

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

Prime Factorization of 4778


2 4778
2389 2389
1

Prime factors of 4778 are 2,2389. Prime factorization of 4778 in exponential form is:

4778 = 21×23891

Now multiplying the highest exponent prime factors to calculate the LCM of 4772 and 4778.

LCM(4772,4778) = 22×11931×23891
LCM(4772,4778) = 11400308

Factors of 4772

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

1, 2, 4, 1193, 2386, 4772

Factors of 4778

List of positive integer factors of 4778 that divides 4778 without a remainder.

1, 2, 2389, 4778

Least Common Multiple of 4772 and 4778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4772 and 4778, than apply into the LCM equation.

GCF(4772,4778) = 2
LCM(4772,4778) = ( 4772 × 4778) / 2
LCM(4772,4778) = 22800616 / 2
LCM(4772,4778) = 11400308

Properties of LCM 4772 and 4778

(i) The LCM of 4778 and 4772 is associative

LCM of 4772 and 4778 = LCM of 4778 and 4772

Related Least Common Multiples of 4772

Related Least Common Multiples of 4778

Frequently Asked Questions on LCM of 4772 and 4778

1. What is the LCM of 4772 and 4778?

Answer: LCM of 4772 and 4778 is 11400308.

2. 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.

3. What are the Factors of 4778?

Answer: Factors of 4778 are 1, 2, 2389, 4778. There are 4 integers that are factors of 4778. The greatest factor of 4778 is 4778.

4. How to Find the LCM of 4772 and 4778?

Answer:

Least Common Multiple of 4772 and 4778 = 11400308

Step 1: Find the prime factorization of 4772

4772 = 2 x 2 x 1193

Step 2: Find the prime factorization of 4778

4778 = 2 x 2389

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

LCM = 11400308 = 2 x 2 x 1193 x 2389

Step 4: Therefore, the least common multiple of 4772 and 4778 is 11400308.