Least Common Multiple of 857 and 865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 857 and 865 the smallest integer that is 741305 that is divisible by both numbers.

Least Common Multiple (LCM) of 857 and 865 is 741305.

LCM(857,865) = 741305

LCM of 857 and 865

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

LCM of:
and

Least Common Multiple of 857 and 865

LCM of 857 and 865 is 741305

Least common multiple can be found by multiplying the highest exponent prime factors of 857 and 865. First we will calculate the prime factors of 857 and 865.

Prime Factorization of 857


857 857
1

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

857 = 8571

Prime Factorization of 865


5 865
173 173
1

Prime factors of 865 are 5,173. Prime factorization of 865 in exponential form is:

865 = 51×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 857 and 865.

LCM(857,865) = 51×1731×8571
LCM(857,865) = 741305

Factors of 857

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

1, 857

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Least Common Multiple of 857 and 865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 857 and 865, than apply into the LCM equation.

GCF(857,865) = 1
LCM(857,865) = ( 857 × 865) / 1
LCM(857,865) = 741305 / 1
LCM(857,865) = 741305

Properties of LCM 857 and 865

(i) The LCM of 865 and 857 is associative

LCM of 857 and 865 = LCM of 865 and 857

Related Least Common Multiples of 857

Related Least Common Multiples of 865

Frequently Asked Questions on LCM of 857 and 865

1. What is the LCM of 857 and 865?

Answer: LCM of 857 and 865 is 741305.

2. 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.

3. What are the Factors of 865?

Answer: Factors of 865 are 1, 5, 173, 865. There are 4 integers that are factors of 865. The greatest factor of 865 is 865.

4. How to Find the LCM of 857 and 865?

Answer:

Least Common Multiple of 857 and 865 = 741305

Step 1: Find the prime factorization of 857

857 = 857

Step 2: Find the prime factorization of 865

865 = 5 x 173

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

LCM = 741305 = 5 x 173 x 857

Step 4: Therefore, the least common multiple of 857 and 865 is 741305.