Least Common Multiple of 857 and 863

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 863 the smallest integer that is 739591 that is divisible by both numbers.

Least Common Multiple (LCM) of 857 and 863 is 739591.

LCM(857,863) = 739591

LCM of 857 and 863

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

LCM of:
and

Least Common Multiple of 857 and 863

LCM of 857 and 863 is 739591

Least common multiple can be found by multiplying the highest exponent prime factors of 857 and 863. First we will calculate the prime factors of 857 and 863.

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 863


863 863
1

Prime factors of 863 are 863. Prime factorization of 863 in exponential form is:

863 = 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 857 and 863.

LCM(857,863) = 8571×8631
LCM(857,863) = 739591

Factors of 857

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

1, 857

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1, 863

Least Common Multiple of 857 and 863 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 863, than apply into the LCM equation.

GCF(857,863) = 1
LCM(857,863) = ( 857 × 863) / 1
LCM(857,863) = 739591 / 1
LCM(857,863) = 739591

Properties of LCM 857 and 863

(i) The LCM of 863 and 857 is associative

LCM of 857 and 863 = LCM of 863 and 857

Related Least Common Multiples of 857

Related Least Common Multiples of 863

Frequently Asked Questions on LCM of 857 and 863

1. What is the LCM of 857 and 863?

Answer: LCM of 857 and 863 is 739591.

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 863?

Answer: Factors of 863 are 1, 863. There are 2 integers that are factors of 863. The greatest factor of 863 is 863.

4. How to Find the LCM of 857 and 863?

Answer:

Least Common Multiple of 857 and 863 = 739591

Step 1: Find the prime factorization of 857

857 = 857

Step 2: Find the prime factorization of 863

863 = 863

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

LCM = 739591 = 857 x 863

Step 4: Therefore, the least common multiple of 857 and 863 is 739591.