Least Common Multiple of 848 and 856

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 856 the smallest integer that is 90736 that is divisible by both numbers.

Least Common Multiple (LCM) of 848 and 856 is 90736.

LCM(848,856) = 90736

LCM of 848 and 856

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

LCM of:
and

Least Common Multiple of 848 and 856

LCM of 848 and 856 is 90736

Least common multiple can be found by multiplying the highest exponent prime factors of 848 and 856. First we will calculate the prime factors of 848 and 856.

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 856


2 856
2 428
2 214
107 107
1

Prime factors of 856 are 2,107. Prime factorization of 856 in exponential form is:

856 = 23×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 848 and 856.

LCM(848,856) = 24×531×1071
LCM(848,856) = 90736

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 856

List of positive integer factors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Least Common Multiple of 848 and 856 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 856, than apply into the LCM equation.

GCF(848,856) = 8
LCM(848,856) = ( 848 × 856) / 8
LCM(848,856) = 725888 / 8
LCM(848,856) = 90736

Properties of LCM 848 and 856

(i) The LCM of 856 and 848 is associative

LCM of 848 and 856 = LCM of 856 and 848

Related Least Common Multiples of 848

Related Least Common Multiples of 856

Frequently Asked Questions on LCM of 848 and 856

1. What is the LCM of 848 and 856?

Answer: LCM of 848 and 856 is 90736.

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 856?

Answer: Factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856. There are 8 integers that are factors of 856. The greatest factor of 856 is 856.

4. How to Find the LCM of 848 and 856?

Answer:

Least Common Multiple of 848 and 856 = 90736

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 856

856 = 2 x 2 x 2 x 107

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

LCM = 90736 = 2 x 2 x 2 x 2 x 53 x 107

Step 4: Therefore, the least common multiple of 848 and 856 is 90736.