Least Common Multiple of 9890 and 9895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9890 and 9895 the smallest integer that is 19572310 that is divisible by both numbers.

Least Common Multiple (LCM) of 9890 and 9895 is 19572310.

LCM(9890,9895) = 19572310

LCM of 9890 and 9895

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

LCM of:
and

Least Common Multiple of 9890 and 9895

LCM of 9890 and 9895 is 19572310

Least common multiple can be found by multiplying the highest exponent prime factors of 9890 and 9895. First we will calculate the prime factors of 9890 and 9895.

Prime Factorization of 9890


2 9890
5 4945
23 989
43 43
1

Prime factors of 9890 are 2, 5, 23,43. Prime factorization of 9890 in exponential form is:

9890 = 21×51×231×431

Prime Factorization of 9895


5 9895
1979 1979
1

Prime factors of 9895 are 5,1979. Prime factorization of 9895 in exponential form is:

9895 = 51×19791

Now multiplying the highest exponent prime factors to calculate the LCM of 9890 and 9895.

LCM(9890,9895) = 21×51×231×431×19791
LCM(9890,9895) = 19572310

Factors of 9890

List of positive integer factors of 9890 that divides 9890 without a remainder.

1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890

Factors of 9895

List of positive integer factors of 9895 that divides 9895 without a remainder.

1, 5, 1979, 9895

Least Common Multiple of 9890 and 9895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9890 and 9895, than apply into the LCM equation.

GCF(9890,9895) = 5
LCM(9890,9895) = ( 9890 × 9895) / 5
LCM(9890,9895) = 97861550 / 5
LCM(9890,9895) = 19572310

Properties of LCM 9890 and 9895

(i) The LCM of 9895 and 9890 is associative

LCM of 9890 and 9895 = LCM of 9895 and 9890

Related Least Common Multiples of 9890

Related Least Common Multiples of 9895

Frequently Asked Questions on LCM of 9890 and 9895

1. What is the LCM of 9890 and 9895?

Answer: LCM of 9890 and 9895 is 19572310.

2. What are the Factors of 9890?

Answer: Factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890. There are 16 integers that are factors of 9890. The greatest factor of 9890 is 9890.

3. What are the Factors of 9895?

Answer: Factors of 9895 are 1, 5, 1979, 9895. There are 4 integers that are factors of 9895. The greatest factor of 9895 is 9895.

4. How to Find the LCM of 9890 and 9895?

Answer:

Least Common Multiple of 9890 and 9895 = 19572310

Step 1: Find the prime factorization of 9890

9890 = 2 x 5 x 23 x 43

Step 2: Find the prime factorization of 9895

9895 = 5 x 1979

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

LCM = 19572310 = 2 x 5 x 23 x 43 x 1979

Step 4: Therefore, the least common multiple of 9890 and 9895 is 19572310.