Least Common Multiple of 9978 and 9985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9978 and 9985 the smallest integer that is 99630330 that is divisible by both numbers.

Least Common Multiple (LCM) of 9978 and 9985 is 99630330.

LCM(9978,9985) = 99630330

LCM of 9978 and 9985

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

LCM of:
and

Least Common Multiple of 9978 and 9985

LCM of 9978 and 9985 is 99630330

Least common multiple can be found by multiplying the highest exponent prime factors of 9978 and 9985. First we will calculate the prime factors of 9978 and 9985.

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

Prime Factorization of 9985


5 9985
1997 1997
1

Prime factors of 9985 are 5,1997. Prime factorization of 9985 in exponential form is:

9985 = 51×19971

Now multiplying the highest exponent prime factors to calculate the LCM of 9978 and 9985.

LCM(9978,9985) = 21×31×51×16631×19971
LCM(9978,9985) = 99630330

Factors of 9978

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

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

Factors of 9985

List of positive integer factors of 9985 that divides 9985 without a remainder.

1, 5, 1997, 9985

Least Common Multiple of 9978 and 9985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9978 and 9985, than apply into the LCM equation.

GCF(9978,9985) = 1
LCM(9978,9985) = ( 9978 × 9985) / 1
LCM(9978,9985) = 99630330 / 1
LCM(9978,9985) = 99630330

Properties of LCM 9978 and 9985

(i) The LCM of 9985 and 9978 is associative

LCM of 9978 and 9985 = LCM of 9985 and 9978

Related Least Common Multiples of 9978

Related Least Common Multiples of 9985

Frequently Asked Questions on LCM of 9978 and 9985

1. What is the LCM of 9978 and 9985?

Answer: LCM of 9978 and 9985 is 99630330.

2. 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.

3. What are the Factors of 9985?

Answer: Factors of 9985 are 1, 5, 1997, 9985. There are 4 integers that are factors of 9985. The greatest factor of 9985 is 9985.

4. How to Find the LCM of 9978 and 9985?

Answer:

Least Common Multiple of 9978 and 9985 = 99630330

Step 1: Find the prime factorization of 9978

9978 = 2 x 3 x 1663

Step 2: Find the prime factorization of 9985

9985 = 5 x 1997

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

LCM = 99630330 = 2 x 3 x 5 x 1663 x 1997

Step 4: Therefore, the least common multiple of 9978 and 9985 is 99630330.