Least Common Multiple of 9971 and 9977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9971 and 9977 the smallest integer that is 99480667 that is divisible by both numbers.

Least Common Multiple (LCM) of 9971 and 9977 is 99480667.

LCM(9971,9977) = 99480667

LCM of 9971 and 9977

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

LCM of:
and

Least Common Multiple of 9971 and 9977

LCM of 9971 and 9977 is 99480667

Least common multiple can be found by multiplying the highest exponent prime factors of 9971 and 9977. First we will calculate the prime factors of 9971 and 9977.

Prime Factorization of 9971


13 9971
13 767
59 59
1

Prime factors of 9971 are 13,59. Prime factorization of 9971 in exponential form is:

9971 = 132×591

Prime Factorization of 9977


11 9977
907 907
1

Prime factors of 9977 are 11,907. Prime factorization of 9977 in exponential form is:

9977 = 111×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 9971 and 9977.

LCM(9971,9977) = 111×132×591×9071
LCM(9971,9977) = 99480667

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1, 13, 59, 169, 767, 9971

Factors of 9977

List of positive integer factors of 9977 that divides 9977 without a remainder.

1, 11, 907, 9977

Least Common Multiple of 9971 and 9977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9971 and 9977, than apply into the LCM equation.

GCF(9971,9977) = 1
LCM(9971,9977) = ( 9971 × 9977) / 1
LCM(9971,9977) = 99480667 / 1
LCM(9971,9977) = 99480667

Properties of LCM 9971 and 9977

(i) The LCM of 9977 and 9971 is associative

LCM of 9971 and 9977 = LCM of 9977 and 9971

Related Least Common Multiples of 9971

Related Least Common Multiples of 9977

Frequently Asked Questions on LCM of 9971 and 9977

1. What is the LCM of 9971 and 9977?

Answer: LCM of 9971 and 9977 is 99480667.

2. What are the Factors of 9971?

Answer: Factors of 9971 are 1, 13, 59, 169, 767, 9971. There are 6 integers that are factors of 9971. The greatest factor of 9971 is 9971.

3. What are the Factors of 9977?

Answer: Factors of 9977 are 1, 11, 907, 9977. There are 4 integers that are factors of 9977. The greatest factor of 9977 is 9977.

4. How to Find the LCM of 9971 and 9977?

Answer:

Least Common Multiple of 9971 and 9977 = 99480667

Step 1: Find the prime factorization of 9971

9971 = 13 x 13 x 59

Step 2: Find the prime factorization of 9977

9977 = 11 x 907

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

LCM = 99480667 = 11 x 13 x 13 x 59 x 907

Step 4: Therefore, the least common multiple of 9971 and 9977 is 99480667.