Least Common Multiple of 4812 and 4818

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 4818 the smallest integer that is 3864036 that is divisible by both numbers.

Least Common Multiple (LCM) of 4812 and 4818 is 3864036.

LCM(4812,4818) = 3864036

LCM of 4812 and 4818

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

LCM of:
and

Least Common Multiple of 4812 and 4818

LCM of 4812 and 4818 is 3864036

Least common multiple can be found by multiplying the highest exponent prime factors of 4812 and 4818. First we will calculate the prime factors of 4812 and 4818.

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 4818


2 4818
3 2409
11 803
73 73
1

Prime factors of 4818 are 2, 3, 11,73. Prime factorization of 4818 in exponential form is:

4818 = 21×31×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4812 and 4818.

LCM(4812,4818) = 22×31×111×731×4011
LCM(4812,4818) = 3864036

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 4818

List of positive integer factors of 4818 that divides 4818 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 73, 146, 219, 438, 803, 1606, 2409, 4818

Least Common Multiple of 4812 and 4818 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 4818, than apply into the LCM equation.

GCF(4812,4818) = 6
LCM(4812,4818) = ( 4812 × 4818) / 6
LCM(4812,4818) = 23184216 / 6
LCM(4812,4818) = 3864036

Properties of LCM 4812 and 4818

(i) The LCM of 4818 and 4812 is associative

LCM of 4812 and 4818 = LCM of 4818 and 4812

Related Least Common Multiples of 4812

Related Least Common Multiples of 4818

Frequently Asked Questions on LCM of 4812 and 4818

1. What is the LCM of 4812 and 4818?

Answer: LCM of 4812 and 4818 is 3864036.

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 4818?

Answer: Factors of 4818 are 1, 2, 3, 6, 11, 22, 33, 66, 73, 146, 219, 438, 803, 1606, 2409, 4818. There are 16 integers that are factors of 4818. The greatest factor of 4818 is 4818.

4. How to Find the LCM of 4812 and 4818?

Answer:

Least Common Multiple of 4812 and 4818 = 3864036

Step 1: Find the prime factorization of 4812

4812 = 2 x 2 x 3 x 401

Step 2: Find the prime factorization of 4818

4818 = 2 x 3 x 11 x 73

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

LCM = 3864036 = 2 x 2 x 3 x 11 x 73 x 401

Step 4: Therefore, the least common multiple of 4812 and 4818 is 3864036.