Least Common Multiple of 4792 and 4797

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 4797 the smallest integer that is 22987224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4792 and 4797 is 22987224.

LCM(4792,4797) = 22987224

LCM of 4792 and 4797

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

LCM of:
and

Least Common Multiple of 4792 and 4797

LCM of 4792 and 4797 is 22987224

Least common multiple can be found by multiplying the highest exponent prime factors of 4792 and 4797. First we will calculate the prime factors of 4792 and 4797.

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 4797


3 4797
3 1599
13 533
41 41
1

Prime factors of 4797 are 3, 13,41. Prime factorization of 4797 in exponential form is:

4797 = 32×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4792 and 4797.

LCM(4792,4797) = 23×32×131×411×5991
LCM(4792,4797) = 22987224

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 4797

List of positive integer factors of 4797 that divides 4797 without a remainder.

1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797

Least Common Multiple of 4792 and 4797 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 4797, than apply into the LCM equation.

GCF(4792,4797) = 1
LCM(4792,4797) = ( 4792 × 4797) / 1
LCM(4792,4797) = 22987224 / 1
LCM(4792,4797) = 22987224

Properties of LCM 4792 and 4797

(i) The LCM of 4797 and 4792 is associative

LCM of 4792 and 4797 = LCM of 4797 and 4792

Related Least Common Multiples of 4792

Related Least Common Multiples of 4797

Frequently Asked Questions on LCM of 4792 and 4797

1. What is the LCM of 4792 and 4797?

Answer: LCM of 4792 and 4797 is 22987224.

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 4797?

Answer: Factors of 4797 are 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797. There are 12 integers that are factors of 4797. The greatest factor of 4797 is 4797.

4. How to Find the LCM of 4792 and 4797?

Answer:

Least Common Multiple of 4792 and 4797 = 22987224

Step 1: Find the prime factorization of 4792

4792 = 2 x 2 x 2 x 599

Step 2: Find the prime factorization of 4797

4797 = 3 x 3 x 13 x 41

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

LCM = 22987224 = 2 x 2 x 2 x 3 x 3 x 13 x 41 x 599

Step 4: Therefore, the least common multiple of 4792 and 4797 is 22987224.