Least Common Multiple of 849 and 857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 849 and 857 the smallest integer that is 727593 that is divisible by both numbers.

Least Common Multiple (LCM) of 849 and 857 is 727593.

LCM(849,857) = 727593

LCM of 849 and 857

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

LCM of:
and

Least Common Multiple of 849 and 857

LCM of 849 and 857 is 727593

Least common multiple can be found by multiplying the highest exponent prime factors of 849 and 857. First we will calculate the prime factors of 849 and 857.

Prime Factorization of 849


3 849
283 283
1

Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:

849 = 31×2831

Prime Factorization of 857


857 857
1

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

857 = 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 849 and 857.

LCM(849,857) = 31×2831×8571
LCM(849,857) = 727593

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Factors of 857

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

1, 857

Least Common Multiple of 849 and 857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 849 and 857, than apply into the LCM equation.

GCF(849,857) = 1
LCM(849,857) = ( 849 × 857) / 1
LCM(849,857) = 727593 / 1
LCM(849,857) = 727593

Properties of LCM 849 and 857

(i) The LCM of 857 and 849 is associative

LCM of 849 and 857 = LCM of 857 and 849

Related Least Common Multiples of 849

Related Least Common Multiples of 857

Frequently Asked Questions on LCM of 849 and 857

1. What is the LCM of 849 and 857?

Answer: LCM of 849 and 857 is 727593.

2. What are the Factors of 849?

Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.

3. 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.

4. How to Find the LCM of 849 and 857?

Answer:

Least Common Multiple of 849 and 857 = 727593

Step 1: Find the prime factorization of 849

849 = 3 x 283

Step 2: Find the prime factorization of 857

857 = 857

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

LCM = 727593 = 3 x 283 x 857

Step 4: Therefore, the least common multiple of 849 and 857 is 727593.