Least Common Multiple of 9970 and 9976

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 9976 the smallest integer that is 49730360 that is divisible by both numbers.

Least Common Multiple (LCM) of 9970 and 9976 is 49730360.

LCM(9970,9976) = 49730360

LCM of 9970 and 9976

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

LCM of:
and

Least Common Multiple of 9970 and 9976

LCM of 9970 and 9976 is 49730360

Least common multiple can be found by multiplying the highest exponent prime factors of 9970 and 9976. First we will calculate the prime factors of 9970 and 9976.

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 9976


2 9976
2 4988
2 2494
29 1247
43 43
1

Prime factors of 9976 are 2, 29,43. Prime factorization of 9976 in exponential form is:

9976 = 23×291×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9970 and 9976.

LCM(9970,9976) = 23×51×291×431×9971
LCM(9970,9976) = 49730360

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 9976

List of positive integer factors of 9976 that divides 9976 without a remainder.

1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976

Least Common Multiple of 9970 and 9976 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 9976, than apply into the LCM equation.

GCF(9970,9976) = 2
LCM(9970,9976) = ( 9970 × 9976) / 2
LCM(9970,9976) = 99460720 / 2
LCM(9970,9976) = 49730360

Properties of LCM 9970 and 9976

(i) The LCM of 9976 and 9970 is associative

LCM of 9970 and 9976 = LCM of 9976 and 9970

Related Least Common Multiples of 9970

Related Least Common Multiples of 9976

Frequently Asked Questions on LCM of 9970 and 9976

1. What is the LCM of 9970 and 9976?

Answer: LCM of 9970 and 9976 is 49730360.

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 9976?

Answer: Factors of 9976 are 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976. There are 16 integers that are factors of 9976. The greatest factor of 9976 is 9976.

4. How to Find the LCM of 9970 and 9976?

Answer:

Least Common Multiple of 9970 and 9976 = 49730360

Step 1: Find the prime factorization of 9970

9970 = 2 x 5 x 997

Step 2: Find the prime factorization of 9976

9976 = 2 x 2 x 2 x 29 x 43

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

LCM = 49730360 = 2 x 2 x 2 x 5 x 29 x 43 x 997

Step 4: Therefore, the least common multiple of 9970 and 9976 is 49730360.