Least Common Multiple of 851 and 857

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 857 the smallest integer that is 729307 that is divisible by both numbers.

Least Common Multiple (LCM) of 851 and 857 is 729307.

LCM(851,857) = 729307

LCM of 851 and 857

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

LCM of:
and

Least Common Multiple of 851 and 857

LCM of 851 and 857 is 729307

Least common multiple can be found by multiplying the highest exponent prime factors of 851 and 857. First we will calculate the prime factors of 851 and 857.

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 857


857 857
1

Prime factors of 857 are 857. Prime factorization of 857 in exponential form is:

857 = 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 851 and 857.

LCM(851,857) = 231×371×8571
LCM(851,857) = 729307

Factors of 851

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

1, 23, 37, 851

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1, 857

Least Common Multiple of 851 and 857 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 857, than apply into the LCM equation.

GCF(851,857) = 1
LCM(851,857) = ( 851 × 857) / 1
LCM(851,857) = 729307 / 1
LCM(851,857) = 729307

Properties of LCM 851 and 857

(i) The LCM of 857 and 851 is associative

LCM of 851 and 857 = LCM of 857 and 851

Related Least Common Multiples of 851

Related Least Common Multiples of 857

Frequently Asked Questions on LCM of 851 and 857

1. What is the LCM of 851 and 857?

Answer: LCM of 851 and 857 is 729307.

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 857?

Answer: Factors of 857 are 1, 857. There are 2 integers that are factors of 857. The greatest factor of 857 is 857.

4. How to Find the LCM of 851 and 857?

Answer:

Least Common Multiple of 851 and 857 = 729307

Step 1: Find the prime factorization of 851

851 = 23 x 37

Step 2: Find the prime factorization of 857

857 = 857

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

LCM = 729307 = 23 x 37 x 857

Step 4: Therefore, the least common multiple of 851 and 857 is 729307.