Least Common Multiple of 9970 and 9978

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 9978 the smallest integer that is 49740330 that is divisible by both numbers.

Least Common Multiple (LCM) of 9970 and 9978 is 49740330.

LCM(9970,9978) = 49740330

LCM of 9970 and 9978

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

LCM of:
and

Least Common Multiple of 9970 and 9978

LCM of 9970 and 9978 is 49740330

Least common multiple can be found by multiplying the highest exponent prime factors of 9970 and 9978. First we will calculate the prime factors of 9970 and 9978.

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 9978


2 9978
3 4989
1663 1663
1

Prime factors of 9978 are 2, 3,1663. Prime factorization of 9978 in exponential form is:

9978 = 21×31×16631

Now multiplying the highest exponent prime factors to calculate the LCM of 9970 and 9978.

LCM(9970,9978) = 21×31×51×9971×16631
LCM(9970,9978) = 49740330

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 9978

List of positive integer factors of 9978 that divides 9978 without a remainder.

1, 2, 3, 6, 1663, 3326, 4989, 9978

Least Common Multiple of 9970 and 9978 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 9978, than apply into the LCM equation.

GCF(9970,9978) = 2
LCM(9970,9978) = ( 9970 × 9978) / 2
LCM(9970,9978) = 99480660 / 2
LCM(9970,9978) = 49740330

Properties of LCM 9970 and 9978

(i) The LCM of 9978 and 9970 is associative

LCM of 9970 and 9978 = LCM of 9978 and 9970

Related Least Common Multiples of 9970

Related Least Common Multiples of 9978

Frequently Asked Questions on LCM of 9970 and 9978

1. What is the LCM of 9970 and 9978?

Answer: LCM of 9970 and 9978 is 49740330.

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 9978?

Answer: Factors of 9978 are 1, 2, 3, 6, 1663, 3326, 4989, 9978. There are 8 integers that are factors of 9978. The greatest factor of 9978 is 9978.

4. How to Find the LCM of 9970 and 9978?

Answer:

Least Common Multiple of 9970 and 9978 = 49740330

Step 1: Find the prime factorization of 9970

9970 = 2 x 5 x 997

Step 2: Find the prime factorization of 9978

9978 = 2 x 3 x 1663

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

LCM = 49740330 = 2 x 3 x 5 x 997 x 1663

Step 4: Therefore, the least common multiple of 9970 and 9978 is 49740330.