Least Common Multiple of 4801 and 4807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4801 and 4807 the smallest integer that is 23078407 that is divisible by both numbers.

Least Common Multiple (LCM) of 4801 and 4807 is 23078407.

LCM(4801,4807) = 23078407

LCM of 4801 and 4807

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

LCM of:
and

Least Common Multiple of 4801 and 4807

LCM of 4801 and 4807 is 23078407

Least common multiple can be found by multiplying the highest exponent prime factors of 4801 and 4807. First we will calculate the prime factors of 4801 and 4807.

Prime Factorization of 4801


4801 4801
1

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

4801 = 48011

Prime Factorization of 4807


11 4807
19 437
23 23
1

Prime factors of 4807 are 11, 19,23. Prime factorization of 4807 in exponential form is:

4807 = 111×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4801 and 4807.

LCM(4801,4807) = 111×191×231×48011
LCM(4801,4807) = 23078407

Factors of 4801

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

1, 4801

Factors of 4807

List of positive integer factors of 4807 that divides 4807 without a remainder.

1, 11, 19, 23, 209, 253, 437, 4807

Least Common Multiple of 4801 and 4807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4801 and 4807, than apply into the LCM equation.

GCF(4801,4807) = 1
LCM(4801,4807) = ( 4801 × 4807) / 1
LCM(4801,4807) = 23078407 / 1
LCM(4801,4807) = 23078407

Properties of LCM 4801 and 4807

(i) The LCM of 4807 and 4801 is associative

LCM of 4801 and 4807 = LCM of 4807 and 4801

Related Least Common Multiples of 4801

Related Least Common Multiples of 4807

Frequently Asked Questions on LCM of 4801 and 4807

1. What is the LCM of 4801 and 4807?

Answer: LCM of 4801 and 4807 is 23078407.

2. 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.

3. What are the Factors of 4807?

Answer: Factors of 4807 are 1, 11, 19, 23, 209, 253, 437, 4807. There are 8 integers that are factors of 4807. The greatest factor of 4807 is 4807.

4. How to Find the LCM of 4801 and 4807?

Answer:

Least Common Multiple of 4801 and 4807 = 23078407

Step 1: Find the prime factorization of 4801

4801 = 4801

Step 2: Find the prime factorization of 4807

4807 = 11 x 19 x 23

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

LCM = 23078407 = 11 x 19 x 23 x 4801

Step 4: Therefore, the least common multiple of 4801 and 4807 is 23078407.