Least Common Multiple of 2848 and 2853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2848 and 2853 the smallest integer that is 8125344 that is divisible by both numbers.

Least Common Multiple (LCM) of 2848 and 2853 is 8125344.

LCM(2848,2853) = 8125344

LCM of 2848 and 2853

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

LCM of:
and

Least Common Multiple of 2848 and 2853

LCM of 2848 and 2853 is 8125344

Least common multiple can be found by multiplying the highest exponent prime factors of 2848 and 2853. First we will calculate the prime factors of 2848 and 2853.

Prime Factorization of 2848


2 2848
2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 2848 are 2,89. Prime factorization of 2848 in exponential form is:

2848 = 25×891

Prime Factorization of 2853


3 2853
3 951
317 317
1

Prime factors of 2853 are 3,317. Prime factorization of 2853 in exponential form is:

2853 = 32×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 2848 and 2853.

LCM(2848,2853) = 25×32×891×3171
LCM(2848,2853) = 8125344

Factors of 2848

List of positive integer factors of 2848 that divides 2848 without a remainder.

1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848

Factors of 2853

List of positive integer factors of 2853 that divides 2853 without a remainder.

1, 3, 9, 317, 951, 2853

Least Common Multiple of 2848 and 2853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2848 and 2853, than apply into the LCM equation.

GCF(2848,2853) = 1
LCM(2848,2853) = ( 2848 × 2853) / 1
LCM(2848,2853) = 8125344 / 1
LCM(2848,2853) = 8125344

Properties of LCM 2848 and 2853

(i) The LCM of 2853 and 2848 is associative

LCM of 2848 and 2853 = LCM of 2853 and 2848

Related Least Common Multiples of 2848

Related Least Common Multiples of 2853

Frequently Asked Questions on LCM of 2848 and 2853

1. What is the LCM of 2848 and 2853?

Answer: LCM of 2848 and 2853 is 8125344.

2. What are the Factors of 2848?

Answer: Factors of 2848 are 1, 2, 4, 8, 16, 32, 89, 178, 356, 712, 1424, 2848. There are 12 integers that are factors of 2848. The greatest factor of 2848 is 2848.

3. What are the Factors of 2853?

Answer: Factors of 2853 are 1, 3, 9, 317, 951, 2853. There are 6 integers that are factors of 2853. The greatest factor of 2853 is 2853.

4. How to Find the LCM of 2848 and 2853?

Answer:

Least Common Multiple of 2848 and 2853 = 8125344

Step 1: Find the prime factorization of 2848

2848 = 2 x 2 x 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 2853

2853 = 3 x 3 x 317

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

LCM = 8125344 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 89 x 317

Step 4: Therefore, the least common multiple of 2848 and 2853 is 8125344.