Least Common Multiple of 8889 and 8897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8889 and 8897 the smallest integer that is 79085433 that is divisible by both numbers.

Least Common Multiple (LCM) of 8889 and 8897 is 79085433.

LCM(8889,8897) = 79085433

LCM of 8889 and 8897

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

LCM of:
and

Least Common Multiple of 8889 and 8897

LCM of 8889 and 8897 is 79085433

Least common multiple can be found by multiplying the highest exponent prime factors of 8889 and 8897. First we will calculate the prime factors of 8889 and 8897.

Prime Factorization of 8889


3 8889
2963 2963
1

Prime factors of 8889 are 3,2963. Prime factorization of 8889 in exponential form is:

8889 = 31×29631

Prime Factorization of 8897


7 8897
31 1271
41 41
1

Prime factors of 8897 are 7, 31,41. Prime factorization of 8897 in exponential form is:

8897 = 71×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8889 and 8897.

LCM(8889,8897) = 31×71×311×411×29631
LCM(8889,8897) = 79085433

Factors of 8889

List of positive integer factors of 8889 that divides 8889 without a remainder.

1, 3, 2963, 8889

Factors of 8897

List of positive integer factors of 8897 that divides 8897 without a remainder.

1, 7, 31, 41, 217, 287, 1271, 8897

Least Common Multiple of 8889 and 8897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8889 and 8897, than apply into the LCM equation.

GCF(8889,8897) = 1
LCM(8889,8897) = ( 8889 × 8897) / 1
LCM(8889,8897) = 79085433 / 1
LCM(8889,8897) = 79085433

Properties of LCM 8889 and 8897

(i) The LCM of 8897 and 8889 is associative

LCM of 8889 and 8897 = LCM of 8897 and 8889

Related Least Common Multiples of 8889

Related Least Common Multiples of 8897

Frequently Asked Questions on LCM of 8889 and 8897

1. What is the LCM of 8889 and 8897?

Answer: LCM of 8889 and 8897 is 79085433.

2. What are the Factors of 8889?

Answer: Factors of 8889 are 1, 3, 2963, 8889. There are 4 integers that are factors of 8889. The greatest factor of 8889 is 8889.

3. What are the Factors of 8897?

Answer: Factors of 8897 are 1, 7, 31, 41, 217, 287, 1271, 8897. There are 8 integers that are factors of 8897. The greatest factor of 8897 is 8897.

4. How to Find the LCM of 8889 and 8897?

Answer:

Least Common Multiple of 8889 and 8897 = 79085433

Step 1: Find the prime factorization of 8889

8889 = 3 x 2963

Step 2: Find the prime factorization of 8897

8897 = 7 x 31 x 41

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

LCM = 79085433 = 3 x 7 x 31 x 41 x 2963

Step 4: Therefore, the least common multiple of 8889 and 8897 is 79085433.