Least Common Multiple of 845 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 845 and 848 the smallest integer that is 716560 that is divisible by both numbers.

Least Common Multiple (LCM) of 845 and 848 is 716560.

LCM(845,848) = 716560

LCM of 845 and 848

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

LCM of:
and

Least Common Multiple of 845 and 848

LCM of 845 and 848 is 716560

Least common multiple can be found by multiplying the highest exponent prime factors of 845 and 848. First we will calculate the prime factors of 845 and 848.

Prime Factorization of 845


5 845
13 169
13 13
1

Prime factors of 845 are 5,13. Prime factorization of 845 in exponential form is:

845 = 51×132

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 845 and 848.

LCM(845,848) = 24×51×132×531
LCM(845,848) = 716560

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

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 845 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 845 and 848, than apply into the LCM equation.

GCF(845,848) = 1
LCM(845,848) = ( 845 × 848) / 1
LCM(845,848) = 716560 / 1
LCM(845,848) = 716560

Properties of LCM 845 and 848

(i) The LCM of 848 and 845 is associative

LCM of 845 and 848 = LCM of 848 and 845

Related Least Common Multiples of 845

Related Least Common Multiples of 848

Frequently Asked Questions on LCM of 845 and 848

1. What is the LCM of 845 and 848?

Answer: LCM of 845 and 848 is 716560.

2. What are the Factors of 845?

Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.

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 845 and 848?

Answer:

Least Common Multiple of 845 and 848 = 716560

Step 1: Find the prime factorization of 845

845 = 5 x 13 x 13

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 = 716560 = 2 x 2 x 2 x 2 x 5 x 13 x 13 x 53

Step 4: Therefore, the least common multiple of 845 and 848 is 716560.