Least Common Multiple of 4844 and 4850

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 4850 the smallest integer that is 11746700 that is divisible by both numbers.

Least Common Multiple (LCM) of 4844 and 4850 is 11746700.

LCM(4844,4850) = 11746700

LCM of 4844 and 4850

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

LCM of:
and

Least Common Multiple of 4844 and 4850

LCM of 4844 and 4850 is 11746700

Least common multiple can be found by multiplying the highest exponent prime factors of 4844 and 4850. First we will calculate the prime factors of 4844 and 4850.

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 4850


2 4850
5 2425
5 485
97 97
1

Prime factors of 4850 are 2, 5,97. Prime factorization of 4850 in exponential form is:

4850 = 21×52×971

Now multiplying the highest exponent prime factors to calculate the LCM of 4844 and 4850.

LCM(4844,4850) = 22×52×71×971×1731
LCM(4844,4850) = 11746700

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 4850

List of positive integer factors of 4850 that divides 4850 without a remainder.

1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850

Least Common Multiple of 4844 and 4850 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 4850, than apply into the LCM equation.

GCF(4844,4850) = 2
LCM(4844,4850) = ( 4844 × 4850) / 2
LCM(4844,4850) = 23493400 / 2
LCM(4844,4850) = 11746700

Properties of LCM 4844 and 4850

(i) The LCM of 4850 and 4844 is associative

LCM of 4844 and 4850 = LCM of 4850 and 4844

Related Least Common Multiples of 4844

Related Least Common Multiples of 4850

Frequently Asked Questions on LCM of 4844 and 4850

1. What is the LCM of 4844 and 4850?

Answer: LCM of 4844 and 4850 is 11746700.

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 4850?

Answer: Factors of 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850. There are 12 integers that are factors of 4850. The greatest factor of 4850 is 4850.

4. How to Find the LCM of 4844 and 4850?

Answer:

Least Common Multiple of 4844 and 4850 = 11746700

Step 1: Find the prime factorization of 4844

4844 = 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 4850

4850 = 2 x 5 x 5 x 97

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

LCM = 11746700 = 2 x 2 x 5 x 5 x 7 x 97 x 173

Step 4: Therefore, the least common multiple of 4844 and 4850 is 11746700.