Least Common Multiple of 9895 and 9902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9895 and 9902 the smallest integer that is 97980290 that is divisible by both numbers.

Least Common Multiple (LCM) of 9895 and 9902 is 97980290.

LCM(9895,9902) = 97980290

LCM of 9895 and 9902

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

LCM of:
and

Least Common Multiple of 9895 and 9902

LCM of 9895 and 9902 is 97980290

Least common multiple can be found by multiplying the highest exponent prime factors of 9895 and 9902. First we will calculate the prime factors of 9895 and 9902.

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

Prime Factorization of 9902


2 9902
4951 4951
1

Prime factors of 9902 are 2,4951. Prime factorization of 9902 in exponential form is:

9902 = 21×49511

Now multiplying the highest exponent prime factors to calculate the LCM of 9895 and 9902.

LCM(9895,9902) = 21×51×19791×49511
LCM(9895,9902) = 97980290

Factors of 9895

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

1, 5, 1979, 9895

Factors of 9902

List of positive integer factors of 9902 that divides 9902 without a remainder.

1, 2, 4951, 9902

Least Common Multiple of 9895 and 9902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9895 and 9902, than apply into the LCM equation.

GCF(9895,9902) = 1
LCM(9895,9902) = ( 9895 × 9902) / 1
LCM(9895,9902) = 97980290 / 1
LCM(9895,9902) = 97980290

Properties of LCM 9895 and 9902

(i) The LCM of 9902 and 9895 is associative

LCM of 9895 and 9902 = LCM of 9902 and 9895

Related Least Common Multiples of 9895

Related Least Common Multiples of 9902

Frequently Asked Questions on LCM of 9895 and 9902

1. What is the LCM of 9895 and 9902?

Answer: LCM of 9895 and 9902 is 97980290.

2. 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.

3. What are the Factors of 9902?

Answer: Factors of 9902 are 1, 2, 4951, 9902. There are 4 integers that are factors of 9902. The greatest factor of 9902 is 9902.

4. How to Find the LCM of 9895 and 9902?

Answer:

Least Common Multiple of 9895 and 9902 = 97980290

Step 1: Find the prime factorization of 9895

9895 = 5 x 1979

Step 2: Find the prime factorization of 9902

9902 = 2 x 4951

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

LCM = 97980290 = 2 x 5 x 1979 x 4951

Step 4: Therefore, the least common multiple of 9895 and 9902 is 97980290.