Least Common Multiple of 9966 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 9966 and 9970 the smallest integer that is 49680510 that is divisible by both numbers.

Least Common Multiple (LCM) of 9966 and 9970 is 49680510.

LCM(9966,9970) = 49680510

LCM of 9966 and 9970

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

LCM of:
and

Least Common Multiple of 9966 and 9970

LCM of 9966 and 9970 is 49680510

Least common multiple can be found by multiplying the highest exponent prime factors of 9966 and 9970. First we will calculate the prime factors of 9966 and 9970.

Prime Factorization of 9966


2 9966
3 4983
11 1661
151 151
1

Prime factors of 9966 are 2, 3, 11,151. Prime factorization of 9966 in exponential form is:

9966 = 21×31×111×1511

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 9966 and 9970.

LCM(9966,9970) = 21×31×51×111×1511×9971
LCM(9966,9970) = 49680510

Factors of 9966

List of positive integer factors of 9966 that divides 9966 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966

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 9966 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 9966 and 9970, than apply into the LCM equation.

GCF(9966,9970) = 2
LCM(9966,9970) = ( 9966 × 9970) / 2
LCM(9966,9970) = 99361020 / 2
LCM(9966,9970) = 49680510

Properties of LCM 9966 and 9970

(i) The LCM of 9970 and 9966 is associative

LCM of 9966 and 9970 = LCM of 9970 and 9966

Related Least Common Multiples of 9966

Related Least Common Multiples of 9970

Frequently Asked Questions on LCM of 9966 and 9970

1. What is the LCM of 9966 and 9970?

Answer: LCM of 9966 and 9970 is 49680510.

2. What are the Factors of 9966?

Answer: Factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966. There are 16 integers that are factors of 9966. The greatest factor of 9966 is 9966.

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 9966 and 9970?

Answer:

Least Common Multiple of 9966 and 9970 = 49680510

Step 1: Find the prime factorization of 9966

9966 = 2 x 3 x 11 x 151

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 = 49680510 = 2 x 3 x 5 x 11 x 151 x 997

Step 4: Therefore, the least common multiple of 9966 and 9970 is 49680510.