Least Common Multiple of 845 and 847

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 847 the smallest integer that is 715715 that is divisible by both numbers.

Least Common Multiple (LCM) of 845 and 847 is 715715.

LCM(845,847) = 715715

LCM of 845 and 847

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

LCM of:
and

Least Common Multiple of 845 and 847

LCM of 845 and 847 is 715715

Least common multiple can be found by multiplying the highest exponent prime factors of 845 and 847. First we will calculate the prime factors of 845 and 847.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 845 and 847.

LCM(845,847) = 51×71×112×132
LCM(845,847) = 715715

Factors of 845

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

1, 5, 13, 65, 169, 845

Factors of 847

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

1, 7, 11, 77, 121, 847

Least Common Multiple of 845 and 847 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 847, than apply into the LCM equation.

GCF(845,847) = 1
LCM(845,847) = ( 845 × 847) / 1
LCM(845,847) = 715715 / 1
LCM(845,847) = 715715

Properties of LCM 845 and 847

(i) The LCM of 847 and 845 is associative

LCM of 845 and 847 = LCM of 847 and 845

Related Least Common Multiples of 845

Related Least Common Multiples of 847

Frequently Asked Questions on LCM of 845 and 847

1. What is the LCM of 845 and 847?

Answer: LCM of 845 and 847 is 715715.

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 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.

4. How to Find the LCM of 845 and 847?

Answer:

Least Common Multiple of 845 and 847 = 715715

Step 1: Find the prime factorization of 845

845 = 5 x 13 x 13

Step 2: Find the prime factorization of 847

847 = 7 x 11 x 11

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

LCM = 715715 = 5 x 7 x 11 x 11 x 13 x 13

Step 4: Therefore, the least common multiple of 845 and 847 is 715715.