Least Common Multiple of 8860 and 8868

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 8868 the smallest integer that is 19642620 that is divisible by both numbers.

Least Common Multiple (LCM) of 8860 and 8868 is 19642620.

LCM(8860,8868) = 19642620

LCM of 8860 and 8868

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

LCM of:
and

Least Common Multiple of 8860 and 8868

LCM of 8860 and 8868 is 19642620

Least common multiple can be found by multiplying the highest exponent prime factors of 8860 and 8868. First we will calculate the prime factors of 8860 and 8868.

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 8868


2 8868
2 4434
3 2217
739 739
1

Prime factors of 8868 are 2, 3,739. Prime factorization of 8868 in exponential form is:

8868 = 22×31×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 8860 and 8868.

LCM(8860,8868) = 22×31×51×4431×7391
LCM(8860,8868) = 19642620

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 8868

List of positive integer factors of 8868 that divides 8868 without a remainder.

1, 2, 3, 4, 6, 12, 739, 1478, 2217, 2956, 4434, 8868

Least Common Multiple of 8860 and 8868 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 8868, than apply into the LCM equation.

GCF(8860,8868) = 4
LCM(8860,8868) = ( 8860 × 8868) / 4
LCM(8860,8868) = 78570480 / 4
LCM(8860,8868) = 19642620

Properties of LCM 8860 and 8868

(i) The LCM of 8868 and 8860 is associative

LCM of 8860 and 8868 = LCM of 8868 and 8860

Related Least Common Multiples of 8860

Related Least Common Multiples of 8868

Frequently Asked Questions on LCM of 8860 and 8868

1. What is the LCM of 8860 and 8868?

Answer: LCM of 8860 and 8868 is 19642620.

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 8868?

Answer: Factors of 8868 are 1, 2, 3, 4, 6, 12, 739, 1478, 2217, 2956, 4434, 8868. There are 12 integers that are factors of 8868. The greatest factor of 8868 is 8868.

4. How to Find the LCM of 8860 and 8868?

Answer:

Least Common Multiple of 8860 and 8868 = 19642620

Step 1: Find the prime factorization of 8860

8860 = 2 x 2 x 5 x 443

Step 2: Find the prime factorization of 8868

8868 = 2 x 2 x 3 x 739

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

LCM = 19642620 = 2 x 2 x 3 x 5 x 443 x 739

Step 4: Therefore, the least common multiple of 8860 and 8868 is 19642620.