Least Common Multiple of 9969 and 9970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9969 and 9970 the smallest integer that is 99390930 that is divisible by both numbers.

Least Common Multiple (LCM) of 9969 and 9970 is 99390930.

LCM(9969,9970) = 99390930

LCM of 9969 and 9970

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

LCM of:
and

Least Common Multiple of 9969 and 9970

LCM of 9969 and 9970 is 99390930

Least common multiple can be found by multiplying the highest exponent prime factors of 9969 and 9970. First we will calculate the prime factors of 9969 and 9970.

Prime Factorization of 9969


3 9969
3323 3323
1

Prime factors of 9969 are 3,3323. Prime factorization of 9969 in exponential form is:

9969 = 31×33231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9969 and 9970.

LCM(9969,9970) = 21×31×51×9971×33231
LCM(9969,9970) = 99390930

Factors of 9969

List of positive integer factors of 9969 that divides 9969 without a remainder.

1, 3, 3323, 9969

Factors of 9970

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

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

Least Common Multiple of 9969 and 9970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9969 and 9970, than apply into the LCM equation.

GCF(9969,9970) = 1
LCM(9969,9970) = ( 9969 × 9970) / 1
LCM(9969,9970) = 99390930 / 1
LCM(9969,9970) = 99390930

Properties of LCM 9969 and 9970

(i) The LCM of 9970 and 9969 is associative

LCM of 9969 and 9970 = LCM of 9970 and 9969

Related Least Common Multiples of 9969

Related Least Common Multiples of 9970

Frequently Asked Questions on LCM of 9969 and 9970

1. What is the LCM of 9969 and 9970?

Answer: LCM of 9969 and 9970 is 99390930.

2. What are the Factors of 9969?

Answer: Factors of 9969 are 1, 3, 3323, 9969. There are 4 integers that are factors of 9969. The greatest factor of 9969 is 9969.

3. 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.

4. How to Find the LCM of 9969 and 9970?

Answer:

Least Common Multiple of 9969 and 9970 = 99390930

Step 1: Find the prime factorization of 9969

9969 = 3 x 3323

Step 2: Find the prime factorization of 9970

9970 = 2 x 5 x 997

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

LCM = 99390930 = 2 x 3 x 5 x 997 x 3323

Step 4: Therefore, the least common multiple of 9969 and 9970 is 99390930.