Least Common Multiple of 9890 and 9896

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 9896 the smallest integer that is 48935720 that is divisible by both numbers.

Least Common Multiple (LCM) of 9890 and 9896 is 48935720.

LCM(9890,9896) = 48935720

LCM of 9890 and 9896

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

LCM of:
and

Least Common Multiple of 9890 and 9896

LCM of 9890 and 9896 is 48935720

Least common multiple can be found by multiplying the highest exponent prime factors of 9890 and 9896. First we will calculate the prime factors of 9890 and 9896.

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 9896


2 9896
2 4948
2 2474
1237 1237
1

Prime factors of 9896 are 2,1237. Prime factorization of 9896 in exponential form is:

9896 = 23×12371

Now multiplying the highest exponent prime factors to calculate the LCM of 9890 and 9896.

LCM(9890,9896) = 23×51×231×431×12371
LCM(9890,9896) = 48935720

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 9896

List of positive integer factors of 9896 that divides 9896 without a remainder.

1, 2, 4, 8, 1237, 2474, 4948, 9896

Least Common Multiple of 9890 and 9896 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 9896, than apply into the LCM equation.

GCF(9890,9896) = 2
LCM(9890,9896) = ( 9890 × 9896) / 2
LCM(9890,9896) = 97871440 / 2
LCM(9890,9896) = 48935720

Properties of LCM 9890 and 9896

(i) The LCM of 9896 and 9890 is associative

LCM of 9890 and 9896 = LCM of 9896 and 9890

Related Least Common Multiples of 9890

Related Least Common Multiples of 9896

Frequently Asked Questions on LCM of 9890 and 9896

1. What is the LCM of 9890 and 9896?

Answer: LCM of 9890 and 9896 is 48935720.

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 9896?

Answer: Factors of 9896 are 1, 2, 4, 8, 1237, 2474, 4948, 9896. There are 8 integers that are factors of 9896. The greatest factor of 9896 is 9896.

4. How to Find the LCM of 9890 and 9896?

Answer:

Least Common Multiple of 9890 and 9896 = 48935720

Step 1: Find the prime factorization of 9890

9890 = 2 x 5 x 23 x 43

Step 2: Find the prime factorization of 9896

9896 = 2 x 2 x 2 x 1237

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

LCM = 48935720 = 2 x 2 x 2 x 5 x 23 x 43 x 1237

Step 4: Therefore, the least common multiple of 9890 and 9896 is 48935720.