Least Common Multiple of 9910 and 9918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9910 and 9918 the smallest integer that is 49143690 that is divisible by both numbers.

Least Common Multiple (LCM) of 9910 and 9918 is 49143690.

LCM(9910,9918) = 49143690

LCM of 9910 and 9918

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

LCM of:
and

Least Common Multiple of 9910 and 9918

LCM of 9910 and 9918 is 49143690

Least common multiple can be found by multiplying the highest exponent prime factors of 9910 and 9918. First we will calculate the prime factors of 9910 and 9918.

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

Prime Factorization of 9918


2 9918
3 4959
3 1653
19 551
29 29
1

Prime factors of 9918 are 2, 3, 19,29. Prime factorization of 9918 in exponential form is:

9918 = 21×32×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9910 and 9918.

LCM(9910,9918) = 21×32×51×191×291×9911
LCM(9910,9918) = 49143690

Factors of 9910

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

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

Factors of 9918

List of positive integer factors of 9918 that divides 9918 without a remainder.

1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918

Least Common Multiple of 9910 and 9918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9910 and 9918, than apply into the LCM equation.

GCF(9910,9918) = 2
LCM(9910,9918) = ( 9910 × 9918) / 2
LCM(9910,9918) = 98287380 / 2
LCM(9910,9918) = 49143690

Properties of LCM 9910 and 9918

(i) The LCM of 9918 and 9910 is associative

LCM of 9910 and 9918 = LCM of 9918 and 9910

Related Least Common Multiples of 9910

Related Least Common Multiples of 9918

Frequently Asked Questions on LCM of 9910 and 9918

1. What is the LCM of 9910 and 9918?

Answer: LCM of 9910 and 9918 is 49143690.

2. 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.

3. What are the Factors of 9918?

Answer: Factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918. There are 24 integers that are factors of 9918. The greatest factor of 9918 is 9918.

4. How to Find the LCM of 9910 and 9918?

Answer:

Least Common Multiple of 9910 and 9918 = 49143690

Step 1: Find the prime factorization of 9910

9910 = 2 x 5 x 991

Step 2: Find the prime factorization of 9918

9918 = 2 x 3 x 3 x 19 x 29

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

LCM = 49143690 = 2 x 3 x 3 x 5 x 19 x 29 x 991

Step 4: Therefore, the least common multiple of 9910 and 9918 is 49143690.