Least Common Multiple of 845 and 852

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 852 the smallest integer that is 719940 that is divisible by both numbers.

Least Common Multiple (LCM) of 845 and 852 is 719940.

LCM(845,852) = 719940

LCM of 845 and 852

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

LCM of:
and

Least Common Multiple of 845 and 852

LCM of 845 and 852 is 719940

Least common multiple can be found by multiplying the highest exponent prime factors of 845 and 852. First we will calculate the prime factors of 845 and 852.

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 852


2 852
2 426
3 213
71 71
1

Prime factors of 852 are 2, 3,71. Prime factorization of 852 in exponential form is:

852 = 22×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 845 and 852.

LCM(845,852) = 22×31×51×132×711
LCM(845,852) = 719940

Factors of 845

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

1, 5, 13, 65, 169, 845

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Least Common Multiple of 845 and 852 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 852, than apply into the LCM equation.

GCF(845,852) = 1
LCM(845,852) = ( 845 × 852) / 1
LCM(845,852) = 719940 / 1
LCM(845,852) = 719940

Properties of LCM 845 and 852

(i) The LCM of 852 and 845 is associative

LCM of 845 and 852 = LCM of 852 and 845

Related Least Common Multiples of 845

Related Least Common Multiples of 852

Frequently Asked Questions on LCM of 845 and 852

1. What is the LCM of 845 and 852?

Answer: LCM of 845 and 852 is 719940.

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 852?

Answer: Factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852. There are 12 integers that are factors of 852. The greatest factor of 852 is 852.

4. How to Find the LCM of 845 and 852?

Answer:

Least Common Multiple of 845 and 852 = 719940

Step 1: Find the prime factorization of 845

845 = 5 x 13 x 13

Step 2: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

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

LCM = 719940 = 2 x 2 x 3 x 5 x 13 x 13 x 71

Step 4: Therefore, the least common multiple of 845 and 852 is 719940.