Least Common Multiple of 4791 and 4799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4791 and 4799 the smallest integer that is 22992009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4791 and 4799 is 22992009.

LCM(4791,4799) = 22992009

LCM of 4791 and 4799

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

LCM of:
and

Least Common Multiple of 4791 and 4799

LCM of 4791 and 4799 is 22992009

Least common multiple can be found by multiplying the highest exponent prime factors of 4791 and 4799. First we will calculate the prime factors of 4791 and 4799.

Prime Factorization of 4791


3 4791
1597 1597
1

Prime factors of 4791 are 3,1597. Prime factorization of 4791 in exponential form is:

4791 = 31×15971

Prime Factorization of 4799


4799 4799
1

Prime factors of 4799 are 4799. Prime factorization of 4799 in exponential form is:

4799 = 47991

Now multiplying the highest exponent prime factors to calculate the LCM of 4791 and 4799.

LCM(4791,4799) = 31×15971×47991
LCM(4791,4799) = 22992009

Factors of 4791

List of positive integer factors of 4791 that divides 4791 without a remainder.

1, 3, 1597, 4791

Factors of 4799

List of positive integer factors of 4799 that divides 4799 without a remainder.

1, 4799

Least Common Multiple of 4791 and 4799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4791 and 4799, than apply into the LCM equation.

GCF(4791,4799) = 1
LCM(4791,4799) = ( 4791 × 4799) / 1
LCM(4791,4799) = 22992009 / 1
LCM(4791,4799) = 22992009

Properties of LCM 4791 and 4799

(i) The LCM of 4799 and 4791 is associative

LCM of 4791 and 4799 = LCM of 4799 and 4791

Related Least Common Multiples of 4791

Related Least Common Multiples of 4799

Frequently Asked Questions on LCM of 4791 and 4799

1. What is the LCM of 4791 and 4799?

Answer: LCM of 4791 and 4799 is 22992009.

2. What are the Factors of 4791?

Answer: Factors of 4791 are 1, 3, 1597, 4791. There are 4 integers that are factors of 4791. The greatest factor of 4791 is 4791.

3. What are the Factors of 4799?

Answer: Factors of 4799 are 1, 4799. There are 2 integers that are factors of 4799. The greatest factor of 4799 is 4799.

4. How to Find the LCM of 4791 and 4799?

Answer:

Least Common Multiple of 4791 and 4799 = 22992009

Step 1: Find the prime factorization of 4791

4791 = 3 x 1597

Step 2: Find the prime factorization of 4799

4799 = 4799

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

LCM = 22992009 = 3 x 1597 x 4799

Step 4: Therefore, the least common multiple of 4791 and 4799 is 22992009.