Least Common Multiple of 851 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 851 and 859 the smallest integer that is 731009 that is divisible by both numbers.

Least Common Multiple (LCM) of 851 and 859 is 731009.

LCM(851,859) = 731009

LCM of 851 and 859

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

LCM of:
and

Least Common Multiple of 851 and 859

LCM of 851 and 859 is 731009

Least common multiple can be found by multiplying the highest exponent prime factors of 851 and 859. First we will calculate the prime factors of 851 and 859.

Prime Factorization of 851


23 851
37 37
1

Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:

851 = 231×371

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 851 and 859.

LCM(851,859) = 231×371×8591
LCM(851,859) = 731009

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Factors of 859

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

1, 859

Least Common Multiple of 851 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 851 and 859, than apply into the LCM equation.

GCF(851,859) = 1
LCM(851,859) = ( 851 × 859) / 1
LCM(851,859) = 731009 / 1
LCM(851,859) = 731009

Properties of LCM 851 and 859

(i) The LCM of 859 and 851 is associative

LCM of 851 and 859 = LCM of 859 and 851

Related Least Common Multiples of 851

Related Least Common Multiples of 859

Frequently Asked Questions on LCM of 851 and 859

1. What is the LCM of 851 and 859?

Answer: LCM of 851 and 859 is 731009.

2. What are the Factors of 851?

Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.

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 851 and 859?

Answer:

Least Common Multiple of 851 and 859 = 731009

Step 1: Find the prime factorization of 851

851 = 23 x 37

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 = 731009 = 23 x 37 x 859

Step 4: Therefore, the least common multiple of 851 and 859 is 731009.