Least Common Multiple of 9920 and 9927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9920 and 9927 the smallest integer that is 98475840 that is divisible by both numbers.

Least Common Multiple (LCM) of 9920 and 9927 is 98475840.

LCM(9920,9927) = 98475840

LCM of 9920 and 9927

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

LCM of:
and

Least Common Multiple of 9920 and 9927

LCM of 9920 and 9927 is 98475840

Least common multiple can be found by multiplying the highest exponent prime factors of 9920 and 9927. First we will calculate the prime factors of 9920 and 9927.

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

Prime Factorization of 9927


3 9927
3 3309
1103 1103
1

Prime factors of 9927 are 3,1103. Prime factorization of 9927 in exponential form is:

9927 = 32×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 9920 and 9927.

LCM(9920,9927) = 26×32×51×311×11031
LCM(9920,9927) = 98475840

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

Factors of 9927

List of positive integer factors of 9927 that divides 9927 without a remainder.

1, 3, 9, 1103, 3309, 9927

Least Common Multiple of 9920 and 9927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9920 and 9927, than apply into the LCM equation.

GCF(9920,9927) = 1
LCM(9920,9927) = ( 9920 × 9927) / 1
LCM(9920,9927) = 98475840 / 1
LCM(9920,9927) = 98475840

Properties of LCM 9920 and 9927

(i) The LCM of 9927 and 9920 is associative

LCM of 9920 and 9927 = LCM of 9927 and 9920

Related Least Common Multiples of 9920

Related Least Common Multiples of 9927

Frequently Asked Questions on LCM of 9920 and 9927

1. What is the LCM of 9920 and 9927?

Answer: LCM of 9920 and 9927 is 98475840.

2. 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.

3. What are the Factors of 9927?

Answer: Factors of 9927 are 1, 3, 9, 1103, 3309, 9927. There are 6 integers that are factors of 9927. The greatest factor of 9927 is 9927.

4. How to Find the LCM of 9920 and 9927?

Answer:

Least Common Multiple of 9920 and 9927 = 98475840

Step 1: Find the prime factorization of 9920

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

Step 2: Find the prime factorization of 9927

9927 = 3 x 3 x 1103

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

LCM = 98475840 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 31 x 1103

Step 4: Therefore, the least common multiple of 9920 and 9927 is 98475840.