Least Common Multiple of 4792 and 4798

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 4798 the smallest integer that is 11496008 that is divisible by both numbers.

Least Common Multiple (LCM) of 4792 and 4798 is 11496008.

LCM(4792,4798) = 11496008

LCM of 4792 and 4798

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

LCM of:
and

Least Common Multiple of 4792 and 4798

LCM of 4792 and 4798 is 11496008

Least common multiple can be found by multiplying the highest exponent prime factors of 4792 and 4798. First we will calculate the prime factors of 4792 and 4798.

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 4798


2 4798
2399 2399
1

Prime factors of 4798 are 2,2399. Prime factorization of 4798 in exponential form is:

4798 = 21×23991

Now multiplying the highest exponent prime factors to calculate the LCM of 4792 and 4798.

LCM(4792,4798) = 23×5991×23991
LCM(4792,4798) = 11496008

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 4798

List of positive integer factors of 4798 that divides 4798 without a remainder.

1, 2, 2399, 4798

Least Common Multiple of 4792 and 4798 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 4798, than apply into the LCM equation.

GCF(4792,4798) = 2
LCM(4792,4798) = ( 4792 × 4798) / 2
LCM(4792,4798) = 22992016 / 2
LCM(4792,4798) = 11496008

Properties of LCM 4792 and 4798

(i) The LCM of 4798 and 4792 is associative

LCM of 4792 and 4798 = LCM of 4798 and 4792

Related Least Common Multiples of 4792

Related Least Common Multiples of 4798

Frequently Asked Questions on LCM of 4792 and 4798

1. What is the LCM of 4792 and 4798?

Answer: LCM of 4792 and 4798 is 11496008.

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 4798?

Answer: Factors of 4798 are 1, 2, 2399, 4798. There are 4 integers that are factors of 4798. The greatest factor of 4798 is 4798.

4. How to Find the LCM of 4792 and 4798?

Answer:

Least Common Multiple of 4792 and 4798 = 11496008

Step 1: Find the prime factorization of 4792

4792 = 2 x 2 x 2 x 599

Step 2: Find the prime factorization of 4798

4798 = 2 x 2399

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

LCM = 11496008 = 2 x 2 x 2 x 599 x 2399

Step 4: Therefore, the least common multiple of 4792 and 4798 is 11496008.