Least Common Multiple of 857 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 857 and 860 the smallest integer that is 737020 that is divisible by both numbers.

Least Common Multiple (LCM) of 857 and 860 is 737020.

LCM(857,860) = 737020

LCM of 857 and 860

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

LCM of:
and

Least Common Multiple of 857 and 860

LCM of 857 and 860 is 737020

Least common multiple can be found by multiplying the highest exponent prime factors of 857 and 860. First we will calculate the prime factors of 857 and 860.

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 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 857 and 860.

LCM(857,860) = 22×51×431×8571
LCM(857,860) = 737020

Factors of 857

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

1, 857

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 857 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 857 and 860, than apply into the LCM equation.

GCF(857,860) = 1
LCM(857,860) = ( 857 × 860) / 1
LCM(857,860) = 737020 / 1
LCM(857,860) = 737020

Properties of LCM 857 and 860

(i) The LCM of 860 and 857 is associative

LCM of 857 and 860 = LCM of 860 and 857

Related Least Common Multiples of 857

Related Least Common Multiples of 860

Frequently Asked Questions on LCM of 857 and 860

1. What is the LCM of 857 and 860?

Answer: LCM of 857 and 860 is 737020.

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 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 857 and 860?

Answer:

Least Common Multiple of 857 and 860 = 737020

Step 1: Find the prime factorization of 857

857 = 857

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 = 737020 = 2 x 2 x 5 x 43 x 857

Step 4: Therefore, the least common multiple of 857 and 860 is 737020.