Least Common Multiple of 4812 and 4819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4812 and 4819 the smallest integer that is 23189028 that is divisible by both numbers.

Least Common Multiple (LCM) of 4812 and 4819 is 23189028.

LCM(4812,4819) = 23189028

LCM of 4812 and 4819

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

LCM of:
and

Least Common Multiple of 4812 and 4819

LCM of 4812 and 4819 is 23189028

Least common multiple can be found by multiplying the highest exponent prime factors of 4812 and 4819. First we will calculate the prime factors of 4812 and 4819.

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

Prime Factorization of 4819


61 4819
79 79
1

Prime factors of 4819 are 61,79. Prime factorization of 4819 in exponential form is:

4819 = 611×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4812 and 4819.

LCM(4812,4819) = 22×31×611×791×4011
LCM(4812,4819) = 23189028

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

Factors of 4819

List of positive integer factors of 4819 that divides 4819 without a remainder.

1, 61, 79, 4819

Least Common Multiple of 4812 and 4819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4812 and 4819, than apply into the LCM equation.

GCF(4812,4819) = 1
LCM(4812,4819) = ( 4812 × 4819) / 1
LCM(4812,4819) = 23189028 / 1
LCM(4812,4819) = 23189028

Properties of LCM 4812 and 4819

(i) The LCM of 4819 and 4812 is associative

LCM of 4812 and 4819 = LCM of 4819 and 4812

Related Least Common Multiples of 4812

Related Least Common Multiples of 4819

Frequently Asked Questions on LCM of 4812 and 4819

1. What is the LCM of 4812 and 4819?

Answer: LCM of 4812 and 4819 is 23189028.

2. 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.

3. What are the Factors of 4819?

Answer: Factors of 4819 are 1, 61, 79, 4819. There are 4 integers that are factors of 4819. The greatest factor of 4819 is 4819.

4. How to Find the LCM of 4812 and 4819?

Answer:

Least Common Multiple of 4812 and 4819 = 23189028

Step 1: Find the prime factorization of 4812

4812 = 2 x 2 x 3 x 401

Step 2: Find the prime factorization of 4819

4819 = 61 x 79

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

LCM = 23189028 = 2 x 2 x 3 x 61 x 79 x 401

Step 4: Therefore, the least common multiple of 4812 and 4819 is 23189028.