Least Common Multiple of 4792 and 4796

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 4796 the smallest integer that is 5745608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4792 and 4796 is 5745608.

LCM(4792,4796) = 5745608

LCM of 4792 and 4796

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

LCM of:
and

Least Common Multiple of 4792 and 4796

LCM of 4792 and 4796 is 5745608

Least common multiple can be found by multiplying the highest exponent prime factors of 4792 and 4796. First we will calculate the prime factors of 4792 and 4796.

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 4796


2 4796
2 2398
11 1199
109 109
1

Prime factors of 4796 are 2, 11,109. Prime factorization of 4796 in exponential form is:

4796 = 22×111×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4792 and 4796.

LCM(4792,4796) = 23×111×1091×5991
LCM(4792,4796) = 5745608

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 4796

List of positive integer factors of 4796 that divides 4796 without a remainder.

1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796

Least Common Multiple of 4792 and 4796 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 4796, than apply into the LCM equation.

GCF(4792,4796) = 4
LCM(4792,4796) = ( 4792 × 4796) / 4
LCM(4792,4796) = 22982432 / 4
LCM(4792,4796) = 5745608

Properties of LCM 4792 and 4796

(i) The LCM of 4796 and 4792 is associative

LCM of 4792 and 4796 = LCM of 4796 and 4792

Related Least Common Multiples of 4792

Related Least Common Multiples of 4796

Frequently Asked Questions on LCM of 4792 and 4796

1. What is the LCM of 4792 and 4796?

Answer: LCM of 4792 and 4796 is 5745608.

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 4796?

Answer: Factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796. There are 12 integers that are factors of 4796. The greatest factor of 4796 is 4796.

4. How to Find the LCM of 4792 and 4796?

Answer:

Least Common Multiple of 4792 and 4796 = 5745608

Step 1: Find the prime factorization of 4792

4792 = 2 x 2 x 2 x 599

Step 2: Find the prime factorization of 4796

4796 = 2 x 2 x 11 x 109

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

LCM = 5745608 = 2 x 2 x 2 x 11 x 109 x 599

Step 4: Therefore, the least common multiple of 4792 and 4796 is 5745608.