Least Common Multiple of 9894 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 9894 and 9902 the smallest integer that is 48985194 that is divisible by both numbers.

Least Common Multiple (LCM) of 9894 and 9902 is 48985194.

LCM(9894,9902) = 48985194

LCM of 9894 and 9902

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

LCM of:
and

Least Common Multiple of 9894 and 9902

LCM of 9894 and 9902 is 48985194

Least common multiple can be found by multiplying the highest exponent prime factors of 9894 and 9902. First we will calculate the prime factors of 9894 and 9902.

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

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 9894 and 9902.

LCM(9894,9902) = 21×31×171×971×49511
LCM(9894,9902) = 48985194

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

Factors of 9902

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

1, 2, 4951, 9902

Least Common Multiple of 9894 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 9894 and 9902, than apply into the LCM equation.

GCF(9894,9902) = 2
LCM(9894,9902) = ( 9894 × 9902) / 2
LCM(9894,9902) = 97970388 / 2
LCM(9894,9902) = 48985194

Properties of LCM 9894 and 9902

(i) The LCM of 9902 and 9894 is associative

LCM of 9894 and 9902 = LCM of 9902 and 9894

Related Least Common Multiples of 9894

Related Least Common Multiples of 9902

Frequently Asked Questions on LCM of 9894 and 9902

1. What is the LCM of 9894 and 9902?

Answer: LCM of 9894 and 9902 is 48985194.

2. 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.

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 9894 and 9902?

Answer:

Least Common Multiple of 9894 and 9902 = 48985194

Step 1: Find the prime factorization of 9894

9894 = 2 x 3 x 17 x 97

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 = 48985194 = 2 x 3 x 17 x 97 x 4951

Step 4: Therefore, the least common multiple of 9894 and 9902 is 48985194.