Least Common Multiple of 9914 and 9920

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 9920 the smallest integer that is 49173440 that is divisible by both numbers.

Least Common Multiple (LCM) of 9914 and 9920 is 49173440.

LCM(9914,9920) = 49173440

LCM of 9914 and 9920

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

LCM of:
and

Least Common Multiple of 9914 and 9920

LCM of 9914 and 9920 is 49173440

Least common multiple can be found by multiplying the highest exponent prime factors of 9914 and 9920. First we will calculate the prime factors of 9914 and 9920.

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 9920


2 9920
2 4960
2 2480
2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 9920 are 2, 5,31. Prime factorization of 9920 in exponential form is:

9920 = 26×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9914 and 9920.

LCM(9914,9920) = 26×51×311×49571
LCM(9914,9920) = 49173440

Factors of 9914

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

1, 2, 4957, 9914

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920

Least Common Multiple of 9914 and 9920 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 9920, than apply into the LCM equation.

GCF(9914,9920) = 2
LCM(9914,9920) = ( 9914 × 9920) / 2
LCM(9914,9920) = 98346880 / 2
LCM(9914,9920) = 49173440

Properties of LCM 9914 and 9920

(i) The LCM of 9920 and 9914 is associative

LCM of 9914 and 9920 = LCM of 9920 and 9914

Related Least Common Multiples of 9914

Related Least Common Multiples of 9920

Frequently Asked Questions on LCM of 9914 and 9920

1. What is the LCM of 9914 and 9920?

Answer: LCM of 9914 and 9920 is 49173440.

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 9920?

Answer: Factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920. There are 28 integers that are factors of 9920. The greatest factor of 9920 is 9920.

4. How to Find the LCM of 9914 and 9920?

Answer:

Least Common Multiple of 9914 and 9920 = 49173440

Step 1: Find the prime factorization of 9914

9914 = 2 x 4957

Step 2: Find the prime factorization of 9920

9920 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 31

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

LCM = 49173440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 31 x 4957

Step 4: Therefore, the least common multiple of 9914 and 9920 is 49173440.