Least Common Multiple of 2849 and 2857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2849 and 2857 the smallest integer that is 8139593 that is divisible by both numbers.

Least Common Multiple (LCM) of 2849 and 2857 is 8139593.

LCM(2849,2857) = 8139593

LCM of 2849 and 2857

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

LCM of:
and

Least Common Multiple of 2849 and 2857

LCM of 2849 and 2857 is 8139593

Least common multiple can be found by multiplying the highest exponent prime factors of 2849 and 2857. First we will calculate the prime factors of 2849 and 2857.

Prime Factorization of 2849


7 2849
11 407
37 37
1

Prime factors of 2849 are 7, 11,37. Prime factorization of 2849 in exponential form is:

2849 = 71×111×371

Prime Factorization of 2857


2857 2857
1

Prime factors of 2857 are 2857. Prime factorization of 2857 in exponential form is:

2857 = 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 2849 and 2857.

LCM(2849,2857) = 71×111×371×28571
LCM(2849,2857) = 8139593

Factors of 2849

List of positive integer factors of 2849 that divides 2849 without a remainder.

1, 7, 11, 37, 77, 259, 407, 2849

Factors of 2857

List of positive integer factors of 2857 that divides 2857 without a remainder.

1, 2857

Least Common Multiple of 2849 and 2857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2849 and 2857, than apply into the LCM equation.

GCF(2849,2857) = 1
LCM(2849,2857) = ( 2849 × 2857) / 1
LCM(2849,2857) = 8139593 / 1
LCM(2849,2857) = 8139593

Properties of LCM 2849 and 2857

(i) The LCM of 2857 and 2849 is associative

LCM of 2849 and 2857 = LCM of 2857 and 2849

Related Least Common Multiples of 2849

Related Least Common Multiples of 2857

Frequently Asked Questions on LCM of 2849 and 2857

1. What is the LCM of 2849 and 2857?

Answer: LCM of 2849 and 2857 is 8139593.

2. What are the Factors of 2849?

Answer: Factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849. There are 8 integers that are factors of 2849. The greatest factor of 2849 is 2849.

3. What are the Factors of 2857?

Answer: Factors of 2857 are 1, 2857. There are 2 integers that are factors of 2857. The greatest factor of 2857 is 2857.

4. How to Find the LCM of 2849 and 2857?

Answer:

Least Common Multiple of 2849 and 2857 = 8139593

Step 1: Find the prime factorization of 2849

2849 = 7 x 11 x 37

Step 2: Find the prime factorization of 2857

2857 = 2857

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

LCM = 8139593 = 7 x 11 x 37 x 2857

Step 4: Therefore, the least common multiple of 2849 and 2857 is 8139593.