Least Common Multiple of 848 and 851

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 851 the smallest integer that is 721648 that is divisible by both numbers.

Least Common Multiple (LCM) of 848 and 851 is 721648.

LCM(848,851) = 721648

LCM of 848 and 851

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

LCM of:
and

Least Common Multiple of 848 and 851

LCM of 848 and 851 is 721648

Least common multiple can be found by multiplying the highest exponent prime factors of 848 and 851. First we will calculate the prime factors of 848 and 851.

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 851


23 851
37 37
1

Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:

851 = 231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 848 and 851.

LCM(848,851) = 24×231×371×531
LCM(848,851) = 721648

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 851

List of positive integer factors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Least Common Multiple of 848 and 851 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 851, than apply into the LCM equation.

GCF(848,851) = 1
LCM(848,851) = ( 848 × 851) / 1
LCM(848,851) = 721648 / 1
LCM(848,851) = 721648

Properties of LCM 848 and 851

(i) The LCM of 851 and 848 is associative

LCM of 848 and 851 = LCM of 851 and 848

Related Least Common Multiples of 848

Related Least Common Multiples of 851

Frequently Asked Questions on LCM of 848 and 851

1. What is the LCM of 848 and 851?

Answer: LCM of 848 and 851 is 721648.

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 851?

Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.

4. How to Find the LCM of 848 and 851?

Answer:

Least Common Multiple of 848 and 851 = 721648

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 851

851 = 23 x 37

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

LCM = 721648 = 2 x 2 x 2 x 2 x 23 x 37 x 53

Step 4: Therefore, the least common multiple of 848 and 851 is 721648.