Least Common Multiple of 2845 and 2848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2845 and 2848 the smallest integer that is 8102560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2845 and 2848 is 8102560.

LCM(2845,2848) = 8102560

LCM of 2845 and 2848

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

LCM of:
and

Least Common Multiple of 2845 and 2848

LCM of 2845 and 2848 is 8102560

Least common multiple can be found by multiplying the highest exponent prime factors of 2845 and 2848. First we will calculate the prime factors of 2845 and 2848.

Prime Factorization of 2845


5 2845
569 569
1

Prime factors of 2845 are 5,569. Prime factorization of 2845 in exponential form is:

2845 = 51×5691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2845 and 2848.

LCM(2845,2848) = 25×51×891×5691
LCM(2845,2848) = 8102560

Factors of 2845

List of positive integer factors of 2845 that divides 2845 without a remainder.

1, 5, 569, 2845

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

Least Common Multiple of 2845 and 2848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2845 and 2848, than apply into the LCM equation.

GCF(2845,2848) = 1
LCM(2845,2848) = ( 2845 × 2848) / 1
LCM(2845,2848) = 8102560 / 1
LCM(2845,2848) = 8102560

Properties of LCM 2845 and 2848

(i) The LCM of 2848 and 2845 is associative

LCM of 2845 and 2848 = LCM of 2848 and 2845

Related Least Common Multiples of 2845

Related Least Common Multiples of 2848

Frequently Asked Questions on LCM of 2845 and 2848

1. What is the LCM of 2845 and 2848?

Answer: LCM of 2845 and 2848 is 8102560.

2. What are the Factors of 2845?

Answer: Factors of 2845 are 1, 5, 569, 2845. There are 4 integers that are factors of 2845. The greatest factor of 2845 is 2845.

3. 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.

4. How to Find the LCM of 2845 and 2848?

Answer:

Least Common Multiple of 2845 and 2848 = 8102560

Step 1: Find the prime factorization of 2845

2845 = 5 x 569

Step 2: Find the prime factorization of 2848

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

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

LCM = 8102560 = 2 x 2 x 2 x 2 x 2 x 5 x 89 x 569

Step 4: Therefore, the least common multiple of 2845 and 2848 is 8102560.