Least Common Multiple of 4782 and 4790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4782 and 4790 the smallest integer that is 11452890 that is divisible by both numbers.

Least Common Multiple (LCM) of 4782 and 4790 is 11452890.

LCM(4782,4790) = 11452890

LCM of 4782 and 4790

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

LCM of:
and

Least Common Multiple of 4782 and 4790

LCM of 4782 and 4790 is 11452890

Least common multiple can be found by multiplying the highest exponent prime factors of 4782 and 4790. First we will calculate the prime factors of 4782 and 4790.

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

Prime Factorization of 4790


2 4790
5 2395
479 479
1

Prime factors of 4790 are 2, 5,479. Prime factorization of 4790 in exponential form is:

4790 = 21×51×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 4782 and 4790.

LCM(4782,4790) = 21×31×51×4791×7971
LCM(4782,4790) = 11452890

Factors of 4782

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

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

Factors of 4790

List of positive integer factors of 4790 that divides 4790 without a remainder.

1, 2, 5, 10, 479, 958, 2395, 4790

Least Common Multiple of 4782 and 4790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4782 and 4790, than apply into the LCM equation.

GCF(4782,4790) = 2
LCM(4782,4790) = ( 4782 × 4790) / 2
LCM(4782,4790) = 22905780 / 2
LCM(4782,4790) = 11452890

Properties of LCM 4782 and 4790

(i) The LCM of 4790 and 4782 is associative

LCM of 4782 and 4790 = LCM of 4790 and 4782

Related Least Common Multiples of 4782

Related Least Common Multiples of 4790

Frequently Asked Questions on LCM of 4782 and 4790

1. What is the LCM of 4782 and 4790?

Answer: LCM of 4782 and 4790 is 11452890.

2. 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.

3. What are the Factors of 4790?

Answer: Factors of 4790 are 1, 2, 5, 10, 479, 958, 2395, 4790. There are 8 integers that are factors of 4790. The greatest factor of 4790 is 4790.

4. How to Find the LCM of 4782 and 4790?

Answer:

Least Common Multiple of 4782 and 4790 = 11452890

Step 1: Find the prime factorization of 4782

4782 = 2 x 3 x 797

Step 2: Find the prime factorization of 4790

4790 = 2 x 5 x 479

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

LCM = 11452890 = 2 x 3 x 5 x 479 x 797

Step 4: Therefore, the least common multiple of 4782 and 4790 is 11452890.