Least Common Multiple of 4804 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 4804 and 4812 the smallest integer that is 5779212 that is divisible by both numbers.

Least Common Multiple (LCM) of 4804 and 4812 is 5779212.

LCM(4804,4812) = 5779212

LCM of 4804 and 4812

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

LCM of:
and

Least Common Multiple of 4804 and 4812

LCM of 4804 and 4812 is 5779212

Least common multiple can be found by multiplying the highest exponent prime factors of 4804 and 4812. First we will calculate the prime factors of 4804 and 4812.

Prime Factorization of 4804


2 4804
2 2402
1201 1201
1

Prime factors of 4804 are 2,1201. Prime factorization of 4804 in exponential form is:

4804 = 22×12011

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 4804 and 4812.

LCM(4804,4812) = 22×31×4011×12011
LCM(4804,4812) = 5779212

Factors of 4804

List of positive integer factors of 4804 that divides 4804 without a remainder.

1, 2, 4, 1201, 2402, 4804

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 4804 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 4804 and 4812, than apply into the LCM equation.

GCF(4804,4812) = 4
LCM(4804,4812) = ( 4804 × 4812) / 4
LCM(4804,4812) = 23116848 / 4
LCM(4804,4812) = 5779212

Properties of LCM 4804 and 4812

(i) The LCM of 4812 and 4804 is associative

LCM of 4804 and 4812 = LCM of 4812 and 4804

Related Least Common Multiples of 4804

Related Least Common Multiples of 4812

Frequently Asked Questions on LCM of 4804 and 4812

1. What is the LCM of 4804 and 4812?

Answer: LCM of 4804 and 4812 is 5779212.

2. What are the Factors of 4804?

Answer: Factors of 4804 are 1, 2, 4, 1201, 2402, 4804. There are 6 integers that are factors of 4804. The greatest factor of 4804 is 4804.

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 4804 and 4812?

Answer:

Least Common Multiple of 4804 and 4812 = 5779212

Step 1: Find the prime factorization of 4804

4804 = 2 x 2 x 1201

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 = 5779212 = 2 x 2 x 3 x 401 x 1201

Step 4: Therefore, the least common multiple of 4804 and 4812 is 5779212.