Least Common Multiple of 4795 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 4795 and 4801 the smallest integer that is 23020795 that is divisible by both numbers.

Least Common Multiple (LCM) of 4795 and 4801 is 23020795.

LCM(4795,4801) = 23020795

LCM of 4795 and 4801

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

LCM of:
and

Least Common Multiple of 4795 and 4801

LCM of 4795 and 4801 is 23020795

Least common multiple can be found by multiplying the highest exponent prime factors of 4795 and 4801. First we will calculate the prime factors of 4795 and 4801.

Prime Factorization of 4795


5 4795
7 959
137 137
1

Prime factors of 4795 are 5, 7,137. Prime factorization of 4795 in exponential form is:

4795 = 51×71×1371

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 4795 and 4801.

LCM(4795,4801) = 51×71×1371×48011
LCM(4795,4801) = 23020795

Factors of 4795

List of positive integer factors of 4795 that divides 4795 without a remainder.

1, 5, 7, 35, 137, 685, 959, 4795

Factors of 4801

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

1, 4801

Least Common Multiple of 4795 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 4795 and 4801, than apply into the LCM equation.

GCF(4795,4801) = 1
LCM(4795,4801) = ( 4795 × 4801) / 1
LCM(4795,4801) = 23020795 / 1
LCM(4795,4801) = 23020795

Properties of LCM 4795 and 4801

(i) The LCM of 4801 and 4795 is associative

LCM of 4795 and 4801 = LCM of 4801 and 4795

Related Least Common Multiples of 4795

Related Least Common Multiples of 4801

Frequently Asked Questions on LCM of 4795 and 4801

1. What is the LCM of 4795 and 4801?

Answer: LCM of 4795 and 4801 is 23020795.

2. What are the Factors of 4795?

Answer: Factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795. There are 8 integers that are factors of 4795. The greatest factor of 4795 is 4795.

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 4795 and 4801?

Answer:

Least Common Multiple of 4795 and 4801 = 23020795

Step 1: Find the prime factorization of 4795

4795 = 5 x 7 x 137

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 = 23020795 = 5 x 7 x 137 x 4801

Step 4: Therefore, the least common multiple of 4795 and 4801 is 23020795.