Least Common Multiple of 9914 and 9919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9914 and 9919 the smallest integer that is 98336966 that is divisible by both numbers.

Least Common Multiple (LCM) of 9914 and 9919 is 98336966.

LCM(9914,9919) = 98336966

LCM of 9914 and 9919

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

LCM of:
and

Least Common Multiple of 9914 and 9919

LCM of 9914 and 9919 is 98336966

Least common multiple can be found by multiplying the highest exponent prime factors of 9914 and 9919. First we will calculate the prime factors of 9914 and 9919.

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

Prime Factorization of 9919


7 9919
13 1417
109 109
1

Prime factors of 9919 are 7, 13,109. Prime factorization of 9919 in exponential form is:

9919 = 71×131×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9914 and 9919.

LCM(9914,9919) = 21×71×131×1091×49571
LCM(9914,9919) = 98336966

Factors of 9914

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

1, 2, 4957, 9914

Factors of 9919

List of positive integer factors of 9919 that divides 9919 without a remainder.

1, 7, 13, 91, 109, 763, 1417, 9919

Least Common Multiple of 9914 and 9919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9914 and 9919, than apply into the LCM equation.

GCF(9914,9919) = 1
LCM(9914,9919) = ( 9914 × 9919) / 1
LCM(9914,9919) = 98336966 / 1
LCM(9914,9919) = 98336966

Properties of LCM 9914 and 9919

(i) The LCM of 9919 and 9914 is associative

LCM of 9914 and 9919 = LCM of 9919 and 9914

Related Least Common Multiples of 9914

Related Least Common Multiples of 9919

Frequently Asked Questions on LCM of 9914 and 9919

1. What is the LCM of 9914 and 9919?

Answer: LCM of 9914 and 9919 is 98336966.

2. 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.

3. What are the Factors of 9919?

Answer: Factors of 9919 are 1, 7, 13, 91, 109, 763, 1417, 9919. There are 8 integers that are factors of 9919. The greatest factor of 9919 is 9919.

4. How to Find the LCM of 9914 and 9919?

Answer:

Least Common Multiple of 9914 and 9919 = 98336966

Step 1: Find the prime factorization of 9914

9914 = 2 x 4957

Step 2: Find the prime factorization of 9919

9919 = 7 x 13 x 109

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

LCM = 98336966 = 2 x 7 x 13 x 109 x 4957

Step 4: Therefore, the least common multiple of 9914 and 9919 is 98336966.