Least Common Multiple of 9887 and 9894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9887 and 9894 the smallest integer that is 97821978 that is divisible by both numbers.

Least Common Multiple (LCM) of 9887 and 9894 is 97821978.

LCM(9887,9894) = 97821978

LCM of 9887 and 9894

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

LCM of:
and

Least Common Multiple of 9887 and 9894

LCM of 9887 and 9894 is 97821978

Least common multiple can be found by multiplying the highest exponent prime factors of 9887 and 9894. First we will calculate the prime factors of 9887 and 9894.

Prime Factorization of 9887


9887 9887
1

Prime factors of 9887 are 9887. Prime factorization of 9887 in exponential form is:

9887 = 98871

Prime Factorization of 9894


2 9894
3 4947
17 1649
97 97
1

Prime factors of 9894 are 2, 3, 17,97. Prime factorization of 9894 in exponential form is:

9894 = 21×31×171×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9887 and 9894.

LCM(9887,9894) = 21×31×171×971×98871
LCM(9887,9894) = 97821978

Factors of 9887

List of positive integer factors of 9887 that divides 9887 without a remainder.

1, 9887

Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894

Least Common Multiple of 9887 and 9894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9887 and 9894, than apply into the LCM equation.

GCF(9887,9894) = 1
LCM(9887,9894) = ( 9887 × 9894) / 1
LCM(9887,9894) = 97821978 / 1
LCM(9887,9894) = 97821978

Properties of LCM 9887 and 9894

(i) The LCM of 9894 and 9887 is associative

LCM of 9887 and 9894 = LCM of 9894 and 9887

Related Least Common Multiples of 9887

Related Least Common Multiples of 9894

Frequently Asked Questions on LCM of 9887 and 9894

1. What is the LCM of 9887 and 9894?

Answer: LCM of 9887 and 9894 is 97821978.

2. What are the Factors of 9887?

Answer: Factors of 9887 are 1, 9887. There are 2 integers that are factors of 9887. The greatest factor of 9887 is 9887.

3. What are the Factors of 9894?

Answer: Factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894. There are 16 integers that are factors of 9894. The greatest factor of 9894 is 9894.

4. How to Find the LCM of 9887 and 9894?

Answer:

Least Common Multiple of 9887 and 9894 = 97821978

Step 1: Find the prime factorization of 9887

9887 = 9887

Step 2: Find the prime factorization of 9894

9894 = 2 x 3 x 17 x 97

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

LCM = 97821978 = 2 x 3 x 17 x 97 x 9887

Step 4: Therefore, the least common multiple of 9887 and 9894 is 97821978.