Least Common Multiple of 8860 and 8864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8860 and 8864 the smallest integer that is 19633760 that is divisible by both numbers.

Least Common Multiple (LCM) of 8860 and 8864 is 19633760.

LCM(8860,8864) = 19633760

LCM of 8860 and 8864

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

LCM of:
and

Least Common Multiple of 8860 and 8864

LCM of 8860 and 8864 is 19633760

Least common multiple can be found by multiplying the highest exponent prime factors of 8860 and 8864. First we will calculate the prime factors of 8860 and 8864.

Prime Factorization of 8860


2 8860
2 4430
5 2215
443 443
1

Prime factors of 8860 are 2, 5,443. Prime factorization of 8860 in exponential form is:

8860 = 22×51×4431

Prime Factorization of 8864


2 8864
2 4432
2 2216
2 1108
2 554
277 277
1

Prime factors of 8864 are 2,277. Prime factorization of 8864 in exponential form is:

8864 = 25×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 8860 and 8864.

LCM(8860,8864) = 25×51×2771×4431
LCM(8860,8864) = 19633760

Factors of 8860

List of positive integer factors of 8860 that divides 8860 without a remainder.

1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860

Factors of 8864

List of positive integer factors of 8864 that divides 8864 without a remainder.

1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864

Least Common Multiple of 8860 and 8864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8860 and 8864, than apply into the LCM equation.

GCF(8860,8864) = 4
LCM(8860,8864) = ( 8860 × 8864) / 4
LCM(8860,8864) = 78535040 / 4
LCM(8860,8864) = 19633760

Properties of LCM 8860 and 8864

(i) The LCM of 8864 and 8860 is associative

LCM of 8860 and 8864 = LCM of 8864 and 8860

Related Least Common Multiples of 8860

Related Least Common Multiples of 8864

Frequently Asked Questions on LCM of 8860 and 8864

1. What is the LCM of 8860 and 8864?

Answer: LCM of 8860 and 8864 is 19633760.

2. What are the Factors of 8860?

Answer: Factors of 8860 are 1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860. There are 12 integers that are factors of 8860. The greatest factor of 8860 is 8860.

3. What are the Factors of 8864?

Answer: Factors of 8864 are 1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864. There are 12 integers that are factors of 8864. The greatest factor of 8864 is 8864.

4. How to Find the LCM of 8860 and 8864?

Answer:

Least Common Multiple of 8860 and 8864 = 19633760

Step 1: Find the prime factorization of 8860

8860 = 2 x 2 x 5 x 443

Step 2: Find the prime factorization of 8864

8864 = 2 x 2 x 2 x 2 x 2 x 277

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

LCM = 19633760 = 2 x 2 x 2 x 2 x 2 x 5 x 277 x 443

Step 4: Therefore, the least common multiple of 8860 and 8864 is 19633760.