Least Common Multiple of 4775 and 4782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4775 and 4782 the smallest integer that is 22834050 that is divisible by both numbers.

Least Common Multiple (LCM) of 4775 and 4782 is 22834050.

LCM(4775,4782) = 22834050

LCM of 4775 and 4782

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

LCM of:
and

Least Common Multiple of 4775 and 4782

LCM of 4775 and 4782 is 22834050

Least common multiple can be found by multiplying the highest exponent prime factors of 4775 and 4782. First we will calculate the prime factors of 4775 and 4782.

Prime Factorization of 4775


5 4775
5 955
191 191
1

Prime factors of 4775 are 5,191. Prime factorization of 4775 in exponential form is:

4775 = 52×1911

Prime Factorization of 4782


2 4782
3 2391
797 797
1

Prime factors of 4782 are 2, 3,797. Prime factorization of 4782 in exponential form is:

4782 = 21×31×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 4775 and 4782.

LCM(4775,4782) = 21×31×52×1911×7971
LCM(4775,4782) = 22834050

Factors of 4775

List of positive integer factors of 4775 that divides 4775 without a remainder.

1, 5, 25, 191, 955, 4775

Factors of 4782

List of positive integer factors of 4782 that divides 4782 without a remainder.

1, 2, 3, 6, 797, 1594, 2391, 4782

Least Common Multiple of 4775 and 4782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4775 and 4782, than apply into the LCM equation.

GCF(4775,4782) = 1
LCM(4775,4782) = ( 4775 × 4782) / 1
LCM(4775,4782) = 22834050 / 1
LCM(4775,4782) = 22834050

Properties of LCM 4775 and 4782

(i) The LCM of 4782 and 4775 is associative

LCM of 4775 and 4782 = LCM of 4782 and 4775

Related Least Common Multiples of 4775

Related Least Common Multiples of 4782

Frequently Asked Questions on LCM of 4775 and 4782

1. What is the LCM of 4775 and 4782?

Answer: LCM of 4775 and 4782 is 22834050.

2. What are the Factors of 4775?

Answer: Factors of 4775 are 1, 5, 25, 191, 955, 4775. There are 6 integers that are factors of 4775. The greatest factor of 4775 is 4775.

3. What are the Factors of 4782?

Answer: Factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782. There are 8 integers that are factors of 4782. The greatest factor of 4782 is 4782.

4. How to Find the LCM of 4775 and 4782?

Answer:

Least Common Multiple of 4775 and 4782 = 22834050

Step 1: Find the prime factorization of 4775

4775 = 5 x 5 x 191

Step 2: Find the prime factorization of 4782

4782 = 2 x 3 x 797

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

LCM = 22834050 = 2 x 3 x 5 x 5 x 191 x 797

Step 4: Therefore, the least common multiple of 4775 and 4782 is 22834050.