Least Common Multiple of 9902 and 9906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9902 and 9906 the smallest integer that is 49044606 that is divisible by both numbers.

Least Common Multiple (LCM) of 9902 and 9906 is 49044606.

LCM(9902,9906) = 49044606

LCM of 9902 and 9906

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

LCM of:
and

Least Common Multiple of 9902 and 9906

LCM of 9902 and 9906 is 49044606

Least common multiple can be found by multiplying the highest exponent prime factors of 9902 and 9906. First we will calculate the prime factors of 9902 and 9906.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9902 and 9906.

LCM(9902,9906) = 21×31×131×1271×49511
LCM(9902,9906) = 49044606

Factors of 9902

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

1, 2, 4951, 9902

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

Least Common Multiple of 9902 and 9906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9902 and 9906, than apply into the LCM equation.

GCF(9902,9906) = 2
LCM(9902,9906) = ( 9902 × 9906) / 2
LCM(9902,9906) = 98089212 / 2
LCM(9902,9906) = 49044606

Properties of LCM 9902 and 9906

(i) The LCM of 9906 and 9902 is associative

LCM of 9902 and 9906 = LCM of 9906 and 9902

Related Least Common Multiples of 9902

Related Least Common Multiples of 9906

Frequently Asked Questions on LCM of 9902 and 9906

1. What is the LCM of 9902 and 9906?

Answer: LCM of 9902 and 9906 is 49044606.

2. 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.

3. 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.

4. How to Find the LCM of 9902 and 9906?

Answer:

Least Common Multiple of 9902 and 9906 = 49044606

Step 1: Find the prime factorization of 9902

9902 = 2 x 4951

Step 2: Find the prime factorization of 9906

9906 = 2 x 3 x 13 x 127

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

LCM = 49044606 = 2 x 3 x 13 x 127 x 4951

Step 4: Therefore, the least common multiple of 9902 and 9906 is 49044606.