Least Common Multiple of 9970 and 9971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9970 and 9971 the smallest integer that is 99410870 that is divisible by both numbers.

Least Common Multiple (LCM) of 9970 and 9971 is 99410870.

LCM(9970,9971) = 99410870

LCM of 9970 and 9971

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

LCM of:
and

Least Common Multiple of 9970 and 9971

LCM of 9970 and 9971 is 99410870

Least common multiple can be found by multiplying the highest exponent prime factors of 9970 and 9971. First we will calculate the prime factors of 9970 and 9971.

Prime Factorization of 9970


2 9970
5 4985
997 997
1

Prime factors of 9970 are 2, 5,997. Prime factorization of 9970 in exponential form is:

9970 = 21×51×9971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9970 and 9971.

LCM(9970,9971) = 21×51×132×591×9971
LCM(9970,9971) = 99410870

Factors of 9970

List of positive integer factors of 9970 that divides 9970 without a remainder.

1, 2, 5, 10, 997, 1994, 4985, 9970

Factors of 9971

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

1, 13, 59, 169, 767, 9971

Least Common Multiple of 9970 and 9971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9970 and 9971, than apply into the LCM equation.

GCF(9970,9971) = 1
LCM(9970,9971) = ( 9970 × 9971) / 1
LCM(9970,9971) = 99410870 / 1
LCM(9970,9971) = 99410870

Properties of LCM 9970 and 9971

(i) The LCM of 9971 and 9970 is associative

LCM of 9970 and 9971 = LCM of 9971 and 9970

Related Least Common Multiples of 9970

Related Least Common Multiples of 9971

Frequently Asked Questions on LCM of 9970 and 9971

1. What is the LCM of 9970 and 9971?

Answer: LCM of 9970 and 9971 is 99410870.

2. What are the Factors of 9970?

Answer: Factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970. There are 8 integers that are factors of 9970. The greatest factor of 9970 is 9970.

3. 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.

4. How to Find the LCM of 9970 and 9971?

Answer:

Least Common Multiple of 9970 and 9971 = 99410870

Step 1: Find the prime factorization of 9970

9970 = 2 x 5 x 997

Step 2: Find the prime factorization of 9971

9971 = 13 x 13 x 59

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

LCM = 99410870 = 2 x 5 x 13 x 13 x 59 x 997

Step 4: Therefore, the least common multiple of 9970 and 9971 is 99410870.