Least Common Multiple of 4790 and 4795

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 4795 the smallest integer that is 4593610 that is divisible by both numbers.

Least Common Multiple (LCM) of 4790 and 4795 is 4593610.

LCM(4790,4795) = 4593610

LCM of 4790 and 4795

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

LCM of:
and

Least Common Multiple of 4790 and 4795

LCM of 4790 and 4795 is 4593610

Least common multiple can be found by multiplying the highest exponent prime factors of 4790 and 4795. First we will calculate the prime factors of 4790 and 4795.

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 4795


5 4795
7 959
137 137
1

Prime factors of 4795 are 5, 7,137. Prime factorization of 4795 in exponential form is:

4795 = 51×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4790 and 4795.

LCM(4790,4795) = 21×51×71×1371×4791
LCM(4790,4795) = 4593610

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 4795

List of positive integer factors of 4795 that divides 4795 without a remainder.

1, 5, 7, 35, 137, 685, 959, 4795

Least Common Multiple of 4790 and 4795 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 4795, than apply into the LCM equation.

GCF(4790,4795) = 5
LCM(4790,4795) = ( 4790 × 4795) / 5
LCM(4790,4795) = 22968050 / 5
LCM(4790,4795) = 4593610

Properties of LCM 4790 and 4795

(i) The LCM of 4795 and 4790 is associative

LCM of 4790 and 4795 = LCM of 4795 and 4790

Related Least Common Multiples of 4790

Related Least Common Multiples of 4795

Frequently Asked Questions on LCM of 4790 and 4795

1. What is the LCM of 4790 and 4795?

Answer: LCM of 4790 and 4795 is 4593610.

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 4795?

Answer: Factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795. There are 8 integers that are factors of 4795. The greatest factor of 4795 is 4795.

4. How to Find the LCM of 4790 and 4795?

Answer:

Least Common Multiple of 4790 and 4795 = 4593610

Step 1: Find the prime factorization of 4790

4790 = 2 x 5 x 479

Step 2: Find the prime factorization of 4795

4795 = 5 x 7 x 137

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

LCM = 4593610 = 2 x 5 x 7 x 137 x 479

Step 4: Therefore, the least common multiple of 4790 and 4795 is 4593610.