Least Common Multiple of 4796 and 4801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4796 and 4801 the smallest integer that is 23025596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4796 and 4801 is 23025596.

LCM(4796,4801) = 23025596

LCM of 4796 and 4801

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

LCM of:
and

Least Common Multiple of 4796 and 4801

LCM of 4796 and 4801 is 23025596

Least common multiple can be found by multiplying the highest exponent prime factors of 4796 and 4801. First we will calculate the prime factors of 4796 and 4801.

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

Prime Factorization of 4801


4801 4801
1

Prime factors of 4801 are 4801. Prime factorization of 4801 in exponential form is:

4801 = 48011

Now multiplying the highest exponent prime factors to calculate the LCM of 4796 and 4801.

LCM(4796,4801) = 22×111×1091×48011
LCM(4796,4801) = 23025596

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

Factors of 4801

List of positive integer factors of 4801 that divides 4801 without a remainder.

1, 4801

Least Common Multiple of 4796 and 4801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4796 and 4801, than apply into the LCM equation.

GCF(4796,4801) = 1
LCM(4796,4801) = ( 4796 × 4801) / 1
LCM(4796,4801) = 23025596 / 1
LCM(4796,4801) = 23025596

Properties of LCM 4796 and 4801

(i) The LCM of 4801 and 4796 is associative

LCM of 4796 and 4801 = LCM of 4801 and 4796

Related Least Common Multiples of 4796

Related Least Common Multiples of 4801

Frequently Asked Questions on LCM of 4796 and 4801

1. What is the LCM of 4796 and 4801?

Answer: LCM of 4796 and 4801 is 23025596.

2. 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.

3. What are the Factors of 4801?

Answer: Factors of 4801 are 1, 4801. There are 2 integers that are factors of 4801. The greatest factor of 4801 is 4801.

4. How to Find the LCM of 4796 and 4801?

Answer:

Least Common Multiple of 4796 and 4801 = 23025596

Step 1: Find the prime factorization of 4796

4796 = 2 x 2 x 11 x 109

Step 2: Find the prime factorization of 4801

4801 = 4801

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

LCM = 23025596 = 2 x 2 x 11 x 109 x 4801

Step 4: Therefore, the least common multiple of 4796 and 4801 is 23025596.