Least Common Multiple of 2864 and 2865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2864 and 2865 the smallest integer that is 8205360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2864 and 2865 is 8205360.

LCM(2864,2865) = 8205360

LCM of 2864 and 2865

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

LCM of:
and

Least Common Multiple of 2864 and 2865

LCM of 2864 and 2865 is 8205360

Least common multiple can be found by multiplying the highest exponent prime factors of 2864 and 2865. First we will calculate the prime factors of 2864 and 2865.

Prime Factorization of 2864


2 2864
2 1432
2 716
2 358
179 179
1

Prime factors of 2864 are 2,179. Prime factorization of 2864 in exponential form is:

2864 = 24×1791

Prime Factorization of 2865


3 2865
5 955
191 191
1

Prime factors of 2865 are 3, 5,191. Prime factorization of 2865 in exponential form is:

2865 = 31×51×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 2864 and 2865.

LCM(2864,2865) = 24×31×51×1791×1911
LCM(2864,2865) = 8205360

Factors of 2864

List of positive integer factors of 2864 that divides 2864 without a remainder.

1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864

Factors of 2865

List of positive integer factors of 2865 that divides 2865 without a remainder.

1, 3, 5, 15, 191, 573, 955, 2865

Least Common Multiple of 2864 and 2865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2864 and 2865, than apply into the LCM equation.

GCF(2864,2865) = 1
LCM(2864,2865) = ( 2864 × 2865) / 1
LCM(2864,2865) = 8205360 / 1
LCM(2864,2865) = 8205360

Properties of LCM 2864 and 2865

(i) The LCM of 2865 and 2864 is associative

LCM of 2864 and 2865 = LCM of 2865 and 2864

Related Least Common Multiples of 2864

Related Least Common Multiples of 2865

Frequently Asked Questions on LCM of 2864 and 2865

1. What is the LCM of 2864 and 2865?

Answer: LCM of 2864 and 2865 is 8205360.

2. What are the Factors of 2864?

Answer: Factors of 2864 are 1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864. There are 10 integers that are factors of 2864. The greatest factor of 2864 is 2864.

3. What are the Factors of 2865?

Answer: Factors of 2865 are 1, 3, 5, 15, 191, 573, 955, 2865. There are 8 integers that are factors of 2865. The greatest factor of 2865 is 2865.

4. How to Find the LCM of 2864 and 2865?

Answer:

Least Common Multiple of 2864 and 2865 = 8205360

Step 1: Find the prime factorization of 2864

2864 = 2 x 2 x 2 x 2 x 179

Step 2: Find the prime factorization of 2865

2865 = 3 x 5 x 191

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

LCM = 8205360 = 2 x 2 x 2 x 2 x 3 x 5 x 179 x 191

Step 4: Therefore, the least common multiple of 2864 and 2865 is 8205360.