Least Common Multiple of 9906 and 9914

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 9914 the smallest integer that is 49104042 that is divisible by both numbers.

Least Common Multiple (LCM) of 9906 and 9914 is 49104042.

LCM(9906,9914) = 49104042

LCM of 9906 and 9914

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

LCM of:
and

Least Common Multiple of 9906 and 9914

LCM of 9906 and 9914 is 49104042

Least common multiple can be found by multiplying the highest exponent prime factors of 9906 and 9914. First we will calculate the prime factors of 9906 and 9914.

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 9914


2 9914
4957 4957
1

Prime factors of 9914 are 2,4957. Prime factorization of 9914 in exponential form is:

9914 = 21×49571

Now multiplying the highest exponent prime factors to calculate the LCM of 9906 and 9914.

LCM(9906,9914) = 21×31×131×1271×49571
LCM(9906,9914) = 49104042

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 9914

List of positive integer factors of 9914 that divides 9914 without a remainder.

1, 2, 4957, 9914

Least Common Multiple of 9906 and 9914 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 9914, than apply into the LCM equation.

GCF(9906,9914) = 2
LCM(9906,9914) = ( 9906 × 9914) / 2
LCM(9906,9914) = 98208084 / 2
LCM(9906,9914) = 49104042

Properties of LCM 9906 and 9914

(i) The LCM of 9914 and 9906 is associative

LCM of 9906 and 9914 = LCM of 9914 and 9906

Related Least Common Multiples of 9906

Related Least Common Multiples of 9914

Frequently Asked Questions on LCM of 9906 and 9914

1. What is the LCM of 9906 and 9914?

Answer: LCM of 9906 and 9914 is 49104042.

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 9914?

Answer: Factors of 9914 are 1, 2, 4957, 9914. There are 4 integers that are factors of 9914. The greatest factor of 9914 is 9914.

4. How to Find the LCM of 9906 and 9914?

Answer:

Least Common Multiple of 9906 and 9914 = 49104042

Step 1: Find the prime factorization of 9906

9906 = 2 x 3 x 13 x 127

Step 2: Find the prime factorization of 9914

9914 = 2 x 4957

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

LCM = 49104042 = 2 x 3 x 13 x 127 x 4957

Step 4: Therefore, the least common multiple of 9906 and 9914 is 49104042.