Least Common Multiple of 9967 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 9967 and 9970 the smallest integer that is 99370990 that is divisible by both numbers.

Least Common Multiple (LCM) of 9967 and 9970 is 99370990.

LCM(9967,9970) = 99370990

LCM of 9967 and 9970

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

LCM of:
and

Least Common Multiple of 9967 and 9970

LCM of 9967 and 9970 is 99370990

Least common multiple can be found by multiplying the highest exponent prime factors of 9967 and 9970. First we will calculate the prime factors of 9967 and 9970.

Prime Factorization of 9967


9967 9967
1

Prime factors of 9967 are 9967. Prime factorization of 9967 in exponential form is:

9967 = 99671

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 9967 and 9970.

LCM(9967,9970) = 21×51×9971×99671
LCM(9967,9970) = 99370990

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1, 9967

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 9967 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 9967 and 9970, than apply into the LCM equation.

GCF(9967,9970) = 1
LCM(9967,9970) = ( 9967 × 9970) / 1
LCM(9967,9970) = 99370990 / 1
LCM(9967,9970) = 99370990

Properties of LCM 9967 and 9970

(i) The LCM of 9970 and 9967 is associative

LCM of 9967 and 9970 = LCM of 9970 and 9967

Related Least Common Multiples of 9967

Related Least Common Multiples of 9970

Frequently Asked Questions on LCM of 9967 and 9970

1. What is the LCM of 9967 and 9970?

Answer: LCM of 9967 and 9970 is 99370990.

2. What are the Factors of 9967?

Answer: Factors of 9967 are 1, 9967. There are 2 integers that are factors of 9967. The greatest factor of 9967 is 9967.

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 9967 and 9970?

Answer:

Least Common Multiple of 9967 and 9970 = 99370990

Step 1: Find the prime factorization of 9967

9967 = 9967

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 = 99370990 = 2 x 5 x 997 x 9967

Step 4: Therefore, the least common multiple of 9967 and 9970 is 99370990.