Least Common Multiple of 857 and 862

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 862 the smallest integer that is 738734 that is divisible by both numbers.

Least Common Multiple (LCM) of 857 and 862 is 738734.

LCM(857,862) = 738734

LCM of 857 and 862

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

LCM of:
and

Least Common Multiple of 857 and 862

LCM of 857 and 862 is 738734

Least common multiple can be found by multiplying the highest exponent prime factors of 857 and 862. First we will calculate the prime factors of 857 and 862.

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 862


2 862
431 431
1

Prime factors of 862 are 2,431. Prime factorization of 862 in exponential form is:

862 = 21×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 857 and 862.

LCM(857,862) = 21×4311×8571
LCM(857,862) = 738734

Factors of 857

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

1, 857

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Least Common Multiple of 857 and 862 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 862, than apply into the LCM equation.

GCF(857,862) = 1
LCM(857,862) = ( 857 × 862) / 1
LCM(857,862) = 738734 / 1
LCM(857,862) = 738734

Properties of LCM 857 and 862

(i) The LCM of 862 and 857 is associative

LCM of 857 and 862 = LCM of 862 and 857

Related Least Common Multiples of 857

Related Least Common Multiples of 862

Frequently Asked Questions on LCM of 857 and 862

1. What is the LCM of 857 and 862?

Answer: LCM of 857 and 862 is 738734.

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 862?

Answer: Factors of 862 are 1, 2, 431, 862. There are 4 integers that are factors of 862. The greatest factor of 862 is 862.

4. How to Find the LCM of 857 and 862?

Answer:

Least Common Multiple of 857 and 862 = 738734

Step 1: Find the prime factorization of 857

857 = 857

Step 2: Find the prime factorization of 862

862 = 2 x 431

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

LCM = 738734 = 2 x 431 x 857

Step 4: Therefore, the least common multiple of 857 and 862 is 738734.