Least Common Multiple of 9890 and 9898

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 9898 the smallest integer that is 48945610 that is divisible by both numbers.

Least Common Multiple (LCM) of 9890 and 9898 is 48945610.

LCM(9890,9898) = 48945610

LCM of 9890 and 9898

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

LCM of:
and

Least Common Multiple of 9890 and 9898

LCM of 9890 and 9898 is 48945610

Least common multiple can be found by multiplying the highest exponent prime factors of 9890 and 9898. First we will calculate the prime factors of 9890 and 9898.

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 9898


2 9898
7 4949
7 707
101 101
1

Prime factors of 9898 are 2, 7,101. Prime factorization of 9898 in exponential form is:

9898 = 21×72×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9890 and 9898.

LCM(9890,9898) = 21×51×72×231×431×1011
LCM(9890,9898) = 48945610

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 9898

List of positive integer factors of 9898 that divides 9898 without a remainder.

1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898

Least Common Multiple of 9890 and 9898 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 9898, than apply into the LCM equation.

GCF(9890,9898) = 2
LCM(9890,9898) = ( 9890 × 9898) / 2
LCM(9890,9898) = 97891220 / 2
LCM(9890,9898) = 48945610

Properties of LCM 9890 and 9898

(i) The LCM of 9898 and 9890 is associative

LCM of 9890 and 9898 = LCM of 9898 and 9890

Related Least Common Multiples of 9890

Related Least Common Multiples of 9898

Frequently Asked Questions on LCM of 9890 and 9898

1. What is the LCM of 9890 and 9898?

Answer: LCM of 9890 and 9898 is 48945610.

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 9898?

Answer: Factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898. There are 12 integers that are factors of 9898. The greatest factor of 9898 is 9898.

4. How to Find the LCM of 9890 and 9898?

Answer:

Least Common Multiple of 9890 and 9898 = 48945610

Step 1: Find the prime factorization of 9890

9890 = 2 x 5 x 23 x 43

Step 2: Find the prime factorization of 9898

9898 = 2 x 7 x 7 x 101

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

LCM = 48945610 = 2 x 5 x 7 x 7 x 23 x 43 x 101

Step 4: Therefore, the least common multiple of 9890 and 9898 is 48945610.