Least Common Multiple of 4792 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 4792 and 4799 the smallest integer that is 22996808 that is divisible by both numbers.

Least Common Multiple (LCM) of 4792 and 4799 is 22996808.

LCM(4792,4799) = 22996808

LCM of 4792 and 4799

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

LCM of:
and

Least Common Multiple of 4792 and 4799

LCM of 4792 and 4799 is 22996808

Least common multiple can be found by multiplying the highest exponent prime factors of 4792 and 4799. First we will calculate the prime factors of 4792 and 4799.

Prime Factorization of 4792


2 4792
2 2396
2 1198
599 599
1

Prime factors of 4792 are 2,599. Prime factorization of 4792 in exponential form is:

4792 = 23×5991

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 4792 and 4799.

LCM(4792,4799) = 23×5991×47991
LCM(4792,4799) = 22996808

Factors of 4792

List of positive integer factors of 4792 that divides 4792 without a remainder.

1, 2, 4, 8, 599, 1198, 2396, 4792

Factors of 4799

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

1, 4799

Least Common Multiple of 4792 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 4792 and 4799, than apply into the LCM equation.

GCF(4792,4799) = 1
LCM(4792,4799) = ( 4792 × 4799) / 1
LCM(4792,4799) = 22996808 / 1
LCM(4792,4799) = 22996808

Properties of LCM 4792 and 4799

(i) The LCM of 4799 and 4792 is associative

LCM of 4792 and 4799 = LCM of 4799 and 4792

Related Least Common Multiples of 4792

Related Least Common Multiples of 4799

Frequently Asked Questions on LCM of 4792 and 4799

1. What is the LCM of 4792 and 4799?

Answer: LCM of 4792 and 4799 is 22996808.

2. What are the Factors of 4792?

Answer: Factors of 4792 are 1, 2, 4, 8, 599, 1198, 2396, 4792. There are 8 integers that are factors of 4792. The greatest factor of 4792 is 4792.

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 4792 and 4799?

Answer:

Least Common Multiple of 4792 and 4799 = 22996808

Step 1: Find the prime factorization of 4792

4792 = 2 x 2 x 2 x 599

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 = 22996808 = 2 x 2 x 2 x 599 x 4799

Step 4: Therefore, the least common multiple of 4792 and 4799 is 22996808.