Least Common Multiple of 9963 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 9963 and 9970 the smallest integer that is 99331110 that is divisible by both numbers.

Least Common Multiple (LCM) of 9963 and 9970 is 99331110.

LCM(9963,9970) = 99331110

LCM of 9963 and 9970

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

LCM of:
and

Least Common Multiple of 9963 and 9970

LCM of 9963 and 9970 is 99331110

Least common multiple can be found by multiplying the highest exponent prime factors of 9963 and 9970. First we will calculate the prime factors of 9963 and 9970.

Prime Factorization of 9963


3 9963
3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 9963 are 3,41. Prime factorization of 9963 in exponential form is:

9963 = 35×411

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 9963 and 9970.

LCM(9963,9970) = 21×35×51×411×9971
LCM(9963,9970) = 99331110

Factors of 9963

List of positive integer factors of 9963 that divides 9963 without a remainder.

1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963

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 9963 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 9963 and 9970, than apply into the LCM equation.

GCF(9963,9970) = 1
LCM(9963,9970) = ( 9963 × 9970) / 1
LCM(9963,9970) = 99331110 / 1
LCM(9963,9970) = 99331110

Properties of LCM 9963 and 9970

(i) The LCM of 9970 and 9963 is associative

LCM of 9963 and 9970 = LCM of 9970 and 9963

Related Least Common Multiples of 9963

Related Least Common Multiples of 9970

Frequently Asked Questions on LCM of 9963 and 9970

1. What is the LCM of 9963 and 9970?

Answer: LCM of 9963 and 9970 is 99331110.

2. What are the Factors of 9963?

Answer: Factors of 9963 are 1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963. There are 12 integers that are factors of 9963. The greatest factor of 9963 is 9963.

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 9963 and 9970?

Answer:

Least Common Multiple of 9963 and 9970 = 99331110

Step 1: Find the prime factorization of 9963

9963 = 3 x 3 x 3 x 3 x 3 x 41

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 = 99331110 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 41 x 997

Step 4: Therefore, the least common multiple of 9963 and 9970 is 99331110.