Least Common Multiple of 852 and 859

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 859 the smallest integer that is 731868 that is divisible by both numbers.

Least Common Multiple (LCM) of 852 and 859 is 731868.

LCM(852,859) = 731868

LCM of 852 and 859

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

LCM of:
and

Least Common Multiple of 852 and 859

LCM of 852 and 859 is 731868

Least common multiple can be found by multiplying the highest exponent prime factors of 852 and 859. First we will calculate the prime factors of 852 and 859.

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 859


859 859
1

Prime factors of 859 are 859. Prime factorization of 859 in exponential form is:

859 = 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 852 and 859.

LCM(852,859) = 22×31×711×8591
LCM(852,859) = 731868

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 859

List of positive integer factors of 859 that divides 859 without a remainder.

1, 859

Least Common Multiple of 852 and 859 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 859, than apply into the LCM equation.

GCF(852,859) = 1
LCM(852,859) = ( 852 × 859) / 1
LCM(852,859) = 731868 / 1
LCM(852,859) = 731868

Properties of LCM 852 and 859

(i) The LCM of 859 and 852 is associative

LCM of 852 and 859 = LCM of 859 and 852

Related Least Common Multiples of 852

Related Least Common Multiples of 859

Frequently Asked Questions on LCM of 852 and 859

1. What is the LCM of 852 and 859?

Answer: LCM of 852 and 859 is 731868.

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 859?

Answer: Factors of 859 are 1, 859. There are 2 integers that are factors of 859. The greatest factor of 859 is 859.

4. How to Find the LCM of 852 and 859?

Answer:

Least Common Multiple of 852 and 859 = 731868

Step 1: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 859

859 = 859

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

LCM = 731868 = 2 x 2 x 3 x 71 x 859

Step 4: Therefore, the least common multiple of 852 and 859 is 731868.