Least Common Multiple of 852 and 860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 852 and 860 the smallest integer that is 183180 that is divisible by both numbers.

Least Common Multiple (LCM) of 852 and 860 is 183180.

LCM(852,860) = 183180

LCM of 852 and 860

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

LCM of:
and

Least Common Multiple of 852 and 860

LCM of 852 and 860 is 183180

Least common multiple can be found by multiplying the highest exponent prime factors of 852 and 860. First we will calculate the prime factors of 852 and 860.

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

Prime Factorization of 860


2 860
2 430
5 215
43 43
1

Prime factors of 860 are 2, 5,43. Prime factorization of 860 in exponential form is:

860 = 22×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 852 and 860.

LCM(852,860) = 22×31×51×431×711
LCM(852,860) = 183180

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

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Least Common Multiple of 852 and 860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 852 and 860, than apply into the LCM equation.

GCF(852,860) = 4
LCM(852,860) = ( 852 × 860) / 4
LCM(852,860) = 732720 / 4
LCM(852,860) = 183180

Properties of LCM 852 and 860

(i) The LCM of 860 and 852 is associative

LCM of 852 and 860 = LCM of 860 and 852

Related Least Common Multiples of 852

Related Least Common Multiples of 860

Frequently Asked Questions on LCM of 852 and 860

1. What is the LCM of 852 and 860?

Answer: LCM of 852 and 860 is 183180.

2. 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.

3. What are the Factors of 860?

Answer: Factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. There are 12 integers that are factors of 860. The greatest factor of 860 is 860.

4. How to Find the LCM of 852 and 860?

Answer:

Least Common Multiple of 852 and 860 = 183180

Step 1: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 860

860 = 2 x 2 x 5 x 43

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

LCM = 183180 = 2 x 2 x 3 x 5 x 43 x 71

Step 4: Therefore, the least common multiple of 852 and 860 is 183180.