Least Common Multiple of 9906 and 9910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9906 and 9910 the smallest integer that is 49084230 that is divisible by both numbers.

Least Common Multiple (LCM) of 9906 and 9910 is 49084230.

LCM(9906,9910) = 49084230

LCM of 9906 and 9910

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

LCM of:
and

Least Common Multiple of 9906 and 9910

LCM of 9906 and 9910 is 49084230

Least common multiple can be found by multiplying the highest exponent prime factors of 9906 and 9910. First we will calculate the prime factors of 9906 and 9910.

Prime Factorization of 9906


2 9906
3 4953
13 1651
127 127
1

Prime factors of 9906 are 2, 3, 13,127. Prime factorization of 9906 in exponential form is:

9906 = 21×31×131×1271

Prime Factorization of 9910


2 9910
5 4955
991 991
1

Prime factors of 9910 are 2, 5,991. Prime factorization of 9910 in exponential form is:

9910 = 21×51×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 9906 and 9910.

LCM(9906,9910) = 21×31×51×131×1271×9911
LCM(9906,9910) = 49084230

Factors of 9906

List of positive integer factors of 9906 that divides 9906 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906

Factors of 9910

List of positive integer factors of 9910 that divides 9910 without a remainder.

1, 2, 5, 10, 991, 1982, 4955, 9910

Least Common Multiple of 9906 and 9910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9906 and 9910, than apply into the LCM equation.

GCF(9906,9910) = 2
LCM(9906,9910) = ( 9906 × 9910) / 2
LCM(9906,9910) = 98168460 / 2
LCM(9906,9910) = 49084230

Properties of LCM 9906 and 9910

(i) The LCM of 9910 and 9906 is associative

LCM of 9906 and 9910 = LCM of 9910 and 9906

Related Least Common Multiples of 9906

Related Least Common Multiples of 9910

Frequently Asked Questions on LCM of 9906 and 9910

1. What is the LCM of 9906 and 9910?

Answer: LCM of 9906 and 9910 is 49084230.

2. What are the Factors of 9906?

Answer: Factors of 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906. There are 16 integers that are factors of 9906. The greatest factor of 9906 is 9906.

3. What are the Factors of 9910?

Answer: Factors of 9910 are 1, 2, 5, 10, 991, 1982, 4955, 9910. There are 8 integers that are factors of 9910. The greatest factor of 9910 is 9910.

4. How to Find the LCM of 9906 and 9910?

Answer:

Least Common Multiple of 9906 and 9910 = 49084230

Step 1: Find the prime factorization of 9906

9906 = 2 x 3 x 13 x 127

Step 2: Find the prime factorization of 9910

9910 = 2 x 5 x 991

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

LCM = 49084230 = 2 x 3 x 5 x 13 x 127 x 991

Step 4: Therefore, the least common multiple of 9906 and 9910 is 49084230.