Least Common Multiple of 4807 and 4812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4807 and 4812 the smallest integer that is 23131284 that is divisible by both numbers.

Least Common Multiple (LCM) of 4807 and 4812 is 23131284.

LCM(4807,4812) = 23131284

LCM of 4807 and 4812

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

LCM of:
and

Least Common Multiple of 4807 and 4812

LCM of 4807 and 4812 is 23131284

Least common multiple can be found by multiplying the highest exponent prime factors of 4807 and 4812. First we will calculate the prime factors of 4807 and 4812.

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

Prime Factorization of 4812


2 4812
2 2406
3 1203
401 401
1

Prime factors of 4812 are 2, 3,401. Prime factorization of 4812 in exponential form is:

4812 = 22×31×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 4807 and 4812.

LCM(4807,4812) = 22×31×111×191×231×4011
LCM(4807,4812) = 23131284

Factors of 4807

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

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

Factors of 4812

List of positive integer factors of 4812 that divides 4812 without a remainder.

1, 2, 3, 4, 6, 12, 401, 802, 1203, 1604, 2406, 4812

Least Common Multiple of 4807 and 4812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4807 and 4812, than apply into the LCM equation.

GCF(4807,4812) = 1
LCM(4807,4812) = ( 4807 × 4812) / 1
LCM(4807,4812) = 23131284 / 1
LCM(4807,4812) = 23131284

Properties of LCM 4807 and 4812

(i) The LCM of 4812 and 4807 is associative

LCM of 4807 and 4812 = LCM of 4812 and 4807

Related Least Common Multiples of 4807

Related Least Common Multiples of 4812

Frequently Asked Questions on LCM of 4807 and 4812

1. What is the LCM of 4807 and 4812?

Answer: LCM of 4807 and 4812 is 23131284.

2. 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.

3. What are the Factors of 4812?

Answer: Factors of 4812 are 1, 2, 3, 4, 6, 12, 401, 802, 1203, 1604, 2406, 4812. There are 12 integers that are factors of 4812. The greatest factor of 4812 is 4812.

4. How to Find the LCM of 4807 and 4812?

Answer:

Least Common Multiple of 4807 and 4812 = 23131284

Step 1: Find the prime factorization of 4807

4807 = 11 x 19 x 23

Step 2: Find the prime factorization of 4812

4812 = 2 x 2 x 3 x 401

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

LCM = 23131284 = 2 x 2 x 3 x 11 x 19 x 23 x 401

Step 4: Therefore, the least common multiple of 4807 and 4812 is 23131284.