Least Common Multiple of 2860 and 2864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2860 and 2864 the smallest integer that is 2047760 that is divisible by both numbers.

Least Common Multiple (LCM) of 2860 and 2864 is 2047760.

LCM(2860,2864) = 2047760

LCM of 2860 and 2864

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

LCM of:
and

Least Common Multiple of 2860 and 2864

LCM of 2860 and 2864 is 2047760

Least common multiple can be found by multiplying the highest exponent prime factors of 2860 and 2864. First we will calculate the prime factors of 2860 and 2864.

Prime Factorization of 2860


2 2860
2 1430
5 715
11 143
13 13
1

Prime factors of 2860 are 2, 5, 11,13. Prime factorization of 2860 in exponential form is:

2860 = 22×51×111×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2860 and 2864.

LCM(2860,2864) = 24×51×111×131×1791
LCM(2860,2864) = 2047760

Factors of 2860

List of positive integer factors of 2860 that divides 2860 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860

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

Least Common Multiple of 2860 and 2864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2860 and 2864, than apply into the LCM equation.

GCF(2860,2864) = 4
LCM(2860,2864) = ( 2860 × 2864) / 4
LCM(2860,2864) = 8191040 / 4
LCM(2860,2864) = 2047760

Properties of LCM 2860 and 2864

(i) The LCM of 2864 and 2860 is associative

LCM of 2860 and 2864 = LCM of 2864 and 2860

Related Least Common Multiples of 2860

Related Least Common Multiples of 2864

Frequently Asked Questions on LCM of 2860 and 2864

1. What is the LCM of 2860 and 2864?

Answer: LCM of 2860 and 2864 is 2047760.

2. What are the Factors of 2860?

Answer: Factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860. There are 24 integers that are factors of 2860. The greatest factor of 2860 is 2860.

3. 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.

4. How to Find the LCM of 2860 and 2864?

Answer:

Least Common Multiple of 2860 and 2864 = 2047760

Step 1: Find the prime factorization of 2860

2860 = 2 x 2 x 5 x 11 x 13

Step 2: Find the prime factorization of 2864

2864 = 2 x 2 x 2 x 2 x 179

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

LCM = 2047760 = 2 x 2 x 2 x 2 x 5 x 11 x 13 x 179

Step 4: Therefore, the least common multiple of 2860 and 2864 is 2047760.