Least Common Multiple of 857 and 864

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 864 the smallest integer that is 740448 that is divisible by both numbers.

Least Common Multiple (LCM) of 857 and 864 is 740448.

LCM(857,864) = 740448

LCM of 857 and 864

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

LCM of:
and

Least Common Multiple of 857 and 864

LCM of 857 and 864 is 740448

Least common multiple can be found by multiplying the highest exponent prime factors of 857 and 864. First we will calculate the prime factors of 857 and 864.

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 864


2 864
2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 864 are 2,3. Prime factorization of 864 in exponential form is:

864 = 25×33

Now multiplying the highest exponent prime factors to calculate the LCM of 857 and 864.

LCM(857,864) = 25×33×8571
LCM(857,864) = 740448

Factors of 857

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

1, 857

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Least Common Multiple of 857 and 864 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 864, than apply into the LCM equation.

GCF(857,864) = 1
LCM(857,864) = ( 857 × 864) / 1
LCM(857,864) = 740448 / 1
LCM(857,864) = 740448

Properties of LCM 857 and 864

(i) The LCM of 864 and 857 is associative

LCM of 857 and 864 = LCM of 864 and 857

Related Least Common Multiples of 857

Related Least Common Multiples of 864

Frequently Asked Questions on LCM of 857 and 864

1. What is the LCM of 857 and 864?

Answer: LCM of 857 and 864 is 740448.

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 864?

Answer: Factors of 864 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864. There are 24 integers that are factors of 864. The greatest factor of 864 is 864.

4. How to Find the LCM of 857 and 864?

Answer:

Least Common Multiple of 857 and 864 = 740448

Step 1: Find the prime factorization of 857

857 = 857

Step 2: Find the prime factorization of 864

864 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

LCM = 740448 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 857

Step 4: Therefore, the least common multiple of 857 and 864 is 740448.