Least Common Multiple of 4806 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 4806 and 4812 the smallest integer that is 3854412 that is divisible by both numbers.

Least Common Multiple (LCM) of 4806 and 4812 is 3854412.

LCM(4806,4812) = 3854412

LCM of 4806 and 4812

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

LCM of:
and

Least Common Multiple of 4806 and 4812

LCM of 4806 and 4812 is 3854412

Least common multiple can be found by multiplying the highest exponent prime factors of 4806 and 4812. First we will calculate the prime factors of 4806 and 4812.

Prime Factorization of 4806


2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 4806 are 2, 3,89. Prime factorization of 4806 in exponential form is:

4806 = 21×33×891

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 4806 and 4812.

LCM(4806,4812) = 22×33×891×4011
LCM(4806,4812) = 3854412

Factors of 4806

List of positive integer factors of 4806 that divides 4806 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806

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 4806 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 4806 and 4812, than apply into the LCM equation.

GCF(4806,4812) = 6
LCM(4806,4812) = ( 4806 × 4812) / 6
LCM(4806,4812) = 23126472 / 6
LCM(4806,4812) = 3854412

Properties of LCM 4806 and 4812

(i) The LCM of 4812 and 4806 is associative

LCM of 4806 and 4812 = LCM of 4812 and 4806

Related Least Common Multiples of 4806

Related Least Common Multiples of 4812

Frequently Asked Questions on LCM of 4806 and 4812

1. What is the LCM of 4806 and 4812?

Answer: LCM of 4806 and 4812 is 3854412.

2. What are the Factors of 4806?

Answer: Factors of 4806 are 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806. There are 16 integers that are factors of 4806. The greatest factor of 4806 is 4806.

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 4806 and 4812?

Answer:

Least Common Multiple of 4806 and 4812 = 3854412

Step 1: Find the prime factorization of 4806

4806 = 2 x 3 x 3 x 3 x 89

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 = 3854412 = 2 x 2 x 3 x 3 x 3 x 89 x 401

Step 4: Therefore, the least common multiple of 4806 and 4812 is 3854412.