Least Common Multiple of 848 and 855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 848 and 855 the smallest integer that is 725040 that is divisible by both numbers.

Least Common Multiple (LCM) of 848 and 855 is 725040.

LCM(848,855) = 725040

LCM of 848 and 855

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

LCM of:
and

Least Common Multiple of 848 and 855

LCM of 848 and 855 is 725040

Least common multiple can be found by multiplying the highest exponent prime factors of 848 and 855. First we will calculate the prime factors of 848 and 855.

Prime Factorization of 848


2 848
2 424
2 212
2 106
53 53
1

Prime factors of 848 are 2,53. Prime factorization of 848 in exponential form is:

848 = 24×531

Prime Factorization of 855


3 855
3 285
5 95
19 19
1

Prime factors of 855 are 3, 5,19. Prime factorization of 855 in exponential form is:

855 = 32×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 848 and 855.

LCM(848,855) = 24×32×51×191×531
LCM(848,855) = 725040

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Least Common Multiple of 848 and 855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 848 and 855, than apply into the LCM equation.

GCF(848,855) = 1
LCM(848,855) = ( 848 × 855) / 1
LCM(848,855) = 725040 / 1
LCM(848,855) = 725040

Properties of LCM 848 and 855

(i) The LCM of 855 and 848 is associative

LCM of 848 and 855 = LCM of 855 and 848

Related Least Common Multiples of 848

Related Least Common Multiples of 855

Frequently Asked Questions on LCM of 848 and 855

1. What is the LCM of 848 and 855?

Answer: LCM of 848 and 855 is 725040.

2. What are the Factors of 848?

Answer: Factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848. There are 10 integers that are factors of 848. The greatest factor of 848 is 848.

3. What are the Factors of 855?

Answer: Factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855. There are 12 integers that are factors of 855. The greatest factor of 855 is 855.

4. How to Find the LCM of 848 and 855?

Answer:

Least Common Multiple of 848 and 855 = 725040

Step 1: Find the prime factorization of 848

848 = 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 855

855 = 3 x 3 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 = 725040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 53

Step 4: Therefore, the least common multiple of 848 and 855 is 725040.