Least Common Multiple of 4812 and 4816

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 4816 the smallest integer that is 5793648 that is divisible by both numbers.

Least Common Multiple (LCM) of 4812 and 4816 is 5793648.

LCM(4812,4816) = 5793648

LCM of 4812 and 4816

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

LCM of:
and

Least Common Multiple of 4812 and 4816

LCM of 4812 and 4816 is 5793648

Least common multiple can be found by multiplying the highest exponent prime factors of 4812 and 4816. First we will calculate the prime factors of 4812 and 4816.

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 4816


2 4816
2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 4816 are 2, 7,43. Prime factorization of 4816 in exponential form is:

4816 = 24×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4812 and 4816.

LCM(4812,4816) = 24×31×71×431×4011
LCM(4812,4816) = 5793648

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 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816

Least Common Multiple of 4812 and 4816 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 4816, than apply into the LCM equation.

GCF(4812,4816) = 4
LCM(4812,4816) = ( 4812 × 4816) / 4
LCM(4812,4816) = 23174592 / 4
LCM(4812,4816) = 5793648

Properties of LCM 4812 and 4816

(i) The LCM of 4816 and 4812 is associative

LCM of 4812 and 4816 = LCM of 4816 and 4812

Related Least Common Multiples of 4812

Related Least Common Multiples of 4816

Frequently Asked Questions on LCM of 4812 and 4816

1. What is the LCM of 4812 and 4816?

Answer: LCM of 4812 and 4816 is 5793648.

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 4816?

Answer: Factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816. There are 20 integers that are factors of 4816. The greatest factor of 4816 is 4816.

4. How to Find the LCM of 4812 and 4816?

Answer:

Least Common Multiple of 4812 and 4816 = 5793648

Step 1: Find the prime factorization of 4812

4812 = 2 x 2 x 3 x 401

Step 2: Find the prime factorization of 4816

4816 = 2 x 2 x 2 x 2 x 7 x 43

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

LCM = 5793648 = 2 x 2 x 2 x 2 x 3 x 7 x 43 x 401

Step 4: Therefore, the least common multiple of 4812 and 4816 is 5793648.