Least Common Multiple of 2844 and 2850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2844 and 2850 the smallest integer that is 1350900 that is divisible by both numbers.

Least Common Multiple (LCM) of 2844 and 2850 is 1350900.

LCM(2844,2850) = 1350900

LCM of 2844 and 2850

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

LCM of:
and

Least Common Multiple of 2844 and 2850

LCM of 2844 and 2850 is 1350900

Least common multiple can be found by multiplying the highest exponent prime factors of 2844 and 2850. First we will calculate the prime factors of 2844 and 2850.

Prime Factorization of 2844


2 2844
2 1422
3 711
3 237
79 79
1

Prime factors of 2844 are 2, 3,79. Prime factorization of 2844 in exponential form is:

2844 = 22×32×791

Prime Factorization of 2850


2 2850
3 1425
5 475
5 95
19 19
1

Prime factors of 2850 are 2, 3, 5,19. Prime factorization of 2850 in exponential form is:

2850 = 21×31×52×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2844 and 2850.

LCM(2844,2850) = 22×32×52×191×791
LCM(2844,2850) = 1350900

Factors of 2844

List of positive integer factors of 2844 that divides 2844 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844

Factors of 2850

List of positive integer factors of 2850 that divides 2850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850

Least Common Multiple of 2844 and 2850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2844 and 2850, than apply into the LCM equation.

GCF(2844,2850) = 6
LCM(2844,2850) = ( 2844 × 2850) / 6
LCM(2844,2850) = 8105400 / 6
LCM(2844,2850) = 1350900

Properties of LCM 2844 and 2850

(i) The LCM of 2850 and 2844 is associative

LCM of 2844 and 2850 = LCM of 2850 and 2844

Related Least Common Multiples of 2844

Related Least Common Multiples of 2850

Frequently Asked Questions on LCM of 2844 and 2850

1. What is the LCM of 2844 and 2850?

Answer: LCM of 2844 and 2850 is 1350900.

2. What are the Factors of 2844?

Answer: Factors of 2844 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844. There are 18 integers that are factors of 2844. The greatest factor of 2844 is 2844.

3. What are the Factors of 2850?

Answer: Factors of 2850 are 1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850. There are 24 integers that are factors of 2850. The greatest factor of 2850 is 2850.

4. How to Find the LCM of 2844 and 2850?

Answer:

Least Common Multiple of 2844 and 2850 = 1350900

Step 1: Find the prime factorization of 2844

2844 = 2 x 2 x 3 x 3 x 79

Step 2: Find the prime factorization of 2850

2850 = 2 x 3 x 5 x 5 x 19

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

LCM = 1350900 = 2 x 2 x 3 x 3 x 5 x 5 x 19 x 79

Step 4: Therefore, the least common multiple of 2844 and 2850 is 1350900.