Least Common Multiple of 9966 and 9968

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 9968 the smallest integer that is 49670544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9966 and 9968 is 49670544.

LCM(9966,9968) = 49670544

LCM of 9966 and 9968

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

LCM of:
and

Least Common Multiple of 9966 and 9968

LCM of 9966 and 9968 is 49670544

Least common multiple can be found by multiplying the highest exponent prime factors of 9966 and 9968. First we will calculate the prime factors of 9966 and 9968.

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 9968


2 9968
2 4984
2 2492
2 1246
7 623
89 89
1

Prime factors of 9968 are 2, 7,89. Prime factorization of 9968 in exponential form is:

9968 = 24×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9966 and 9968.

LCM(9966,9968) = 24×31×71×111×891×1511
LCM(9966,9968) = 49670544

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 9968

List of positive integer factors of 9968 that divides 9968 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968

Least Common Multiple of 9966 and 9968 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 9968, than apply into the LCM equation.

GCF(9966,9968) = 2
LCM(9966,9968) = ( 9966 × 9968) / 2
LCM(9966,9968) = 99341088 / 2
LCM(9966,9968) = 49670544

Properties of LCM 9966 and 9968

(i) The LCM of 9968 and 9966 is associative

LCM of 9966 and 9968 = LCM of 9968 and 9966

Related Least Common Multiples of 9966

Related Least Common Multiples of 9968

Frequently Asked Questions on LCM of 9966 and 9968

1. What is the LCM of 9966 and 9968?

Answer: LCM of 9966 and 9968 is 49670544.

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 9968?

Answer: Factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968. There are 20 integers that are factors of 9968. The greatest factor of 9968 is 9968.

4. How to Find the LCM of 9966 and 9968?

Answer:

Least Common Multiple of 9966 and 9968 = 49670544

Step 1: Find the prime factorization of 9966

9966 = 2 x 3 x 11 x 151

Step 2: Find the prime factorization of 9968

9968 = 2 x 2 x 2 x 2 x 7 x 89

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

LCM = 49670544 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 89 x 151

Step 4: Therefore, the least common multiple of 9966 and 9968 is 49670544.