Least Common Multiple of 4790 and 4796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4790 and 4796 the smallest integer that is 11486420 that is divisible by both numbers.

Least Common Multiple (LCM) of 4790 and 4796 is 11486420.

LCM(4790,4796) = 11486420

LCM of 4790 and 4796

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

LCM of:
and

Least Common Multiple of 4790 and 4796

LCM of 4790 and 4796 is 11486420

Least common multiple can be found by multiplying the highest exponent prime factors of 4790 and 4796. First we will calculate the prime factors of 4790 and 4796.

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

Prime Factorization of 4796


2 4796
2 2398
11 1199
109 109
1

Prime factors of 4796 are 2, 11,109. Prime factorization of 4796 in exponential form is:

4796 = 22×111×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4790 and 4796.

LCM(4790,4796) = 22×51×111×1091×4791
LCM(4790,4796) = 11486420

Factors of 4790

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

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

Factors of 4796

List of positive integer factors of 4796 that divides 4796 without a remainder.

1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796

Least Common Multiple of 4790 and 4796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4790 and 4796, than apply into the LCM equation.

GCF(4790,4796) = 2
LCM(4790,4796) = ( 4790 × 4796) / 2
LCM(4790,4796) = 22972840 / 2
LCM(4790,4796) = 11486420

Properties of LCM 4790 and 4796

(i) The LCM of 4796 and 4790 is associative

LCM of 4790 and 4796 = LCM of 4796 and 4790

Related Least Common Multiples of 4790

Related Least Common Multiples of 4796

Frequently Asked Questions on LCM of 4790 and 4796

1. What is the LCM of 4790 and 4796?

Answer: LCM of 4790 and 4796 is 11486420.

2. 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.

3. What are the Factors of 4796?

Answer: Factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796. There are 12 integers that are factors of 4796. The greatest factor of 4796 is 4796.

4. How to Find the LCM of 4790 and 4796?

Answer:

Least Common Multiple of 4790 and 4796 = 11486420

Step 1: Find the prime factorization of 4790

4790 = 2 x 5 x 479

Step 2: Find the prime factorization of 4796

4796 = 2 x 2 x 11 x 109

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

LCM = 11486420 = 2 x 2 x 5 x 11 x 109 x 479

Step 4: Therefore, the least common multiple of 4790 and 4796 is 11486420.