Least Common Multiple of 847 and 848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 847 and 848 the smallest integer that is 718256 that is divisible by both numbers.

Least Common Multiple (LCM) of 847 and 848 is 718256.

LCM(847,848) = 718256

LCM of 847 and 848

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

LCM of:
and

Least Common Multiple of 847 and 848

LCM of 847 and 848 is 718256

Least common multiple can be found by multiplying the highest exponent prime factors of 847 and 848. First we will calculate the prime factors of 847 and 848.

Prime Factorization of 847


7 847
11 121
11 11
1

Prime factors of 847 are 7,11. Prime factorization of 847 in exponential form is:

847 = 71×112

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

Now multiplying the highest exponent prime factors to calculate the LCM of 847 and 848.

LCM(847,848) = 24×71×112×531
LCM(847,848) = 718256

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

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

Least Common Multiple of 847 and 848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 847 and 848, than apply into the LCM equation.

GCF(847,848) = 1
LCM(847,848) = ( 847 × 848) / 1
LCM(847,848) = 718256 / 1
LCM(847,848) = 718256

Properties of LCM 847 and 848

(i) The LCM of 848 and 847 is associative

LCM of 847 and 848 = LCM of 848 and 847

Related Least Common Multiples of 847

Related Least Common Multiples of 848

Frequently Asked Questions on LCM of 847 and 848

1. What is the LCM of 847 and 848?

Answer: LCM of 847 and 848 is 718256.

2. What are the Factors of 847?

Answer: Factors of 847 are 1, 7, 11, 77, 121, 847. There are 6 integers that are factors of 847. The greatest factor of 847 is 847.

3. 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.

4. How to Find the LCM of 847 and 848?

Answer:

Least Common Multiple of 847 and 848 = 718256

Step 1: Find the prime factorization of 847

847 = 7 x 11 x 11

Step 2: Find the prime factorization of 848

848 = 2 x 2 x 2 x 2 x 53

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

LCM = 718256 = 2 x 2 x 2 x 2 x 7 x 11 x 11 x 53

Step 4: Therefore, the least common multiple of 847 and 848 is 718256.