Least Common Multiple of 4844 and 4851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4844 and 4851 the smallest integer that is 3356892 that is divisible by both numbers.

Least Common Multiple (LCM) of 4844 and 4851 is 3356892.

LCM(4844,4851) = 3356892

LCM of 4844 and 4851

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

LCM of:
and

Least Common Multiple of 4844 and 4851

LCM of 4844 and 4851 is 3356892

Least common multiple can be found by multiplying the highest exponent prime factors of 4844 and 4851. First we will calculate the prime factors of 4844 and 4851.

Prime Factorization of 4844


2 4844
2 2422
7 1211
173 173
1

Prime factors of 4844 are 2, 7,173. Prime factorization of 4844 in exponential form is:

4844 = 22×71×1731

Prime Factorization of 4851


3 4851
3 1617
7 539
7 77
11 11
1

Prime factors of 4851 are 3, 7,11. Prime factorization of 4851 in exponential form is:

4851 = 32×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4844 and 4851.

LCM(4844,4851) = 22×32×72×111×1731
LCM(4844,4851) = 3356892

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844

Factors of 4851

List of positive integer factors of 4851 that divides 4851 without a remainder.

1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851

Least Common Multiple of 4844 and 4851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4844 and 4851, than apply into the LCM equation.

GCF(4844,4851) = 7
LCM(4844,4851) = ( 4844 × 4851) / 7
LCM(4844,4851) = 23498244 / 7
LCM(4844,4851) = 3356892

Properties of LCM 4844 and 4851

(i) The LCM of 4851 and 4844 is associative

LCM of 4844 and 4851 = LCM of 4851 and 4844

Related Least Common Multiples of 4844

Related Least Common Multiples of 4851

Frequently Asked Questions on LCM of 4844 and 4851

1. What is the LCM of 4844 and 4851?

Answer: LCM of 4844 and 4851 is 3356892.

2. What are the Factors of 4844?

Answer: Factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844. There are 12 integers that are factors of 4844. The greatest factor of 4844 is 4844.

3. What are the Factors of 4851?

Answer: Factors of 4851 are 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851. There are 18 integers that are factors of 4851. The greatest factor of 4851 is 4851.

4. How to Find the LCM of 4844 and 4851?

Answer:

Least Common Multiple of 4844 and 4851 = 3356892

Step 1: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 4851

4851 = 3 x 3 x 7 x 7 x 11

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

LCM = 3356892 = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 173

Step 4: Therefore, the least common multiple of 4844 and 4851 is 3356892.