Least Common Multiple of 9968 and 9973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9968 and 9973 the smallest integer that is 99410864 that is divisible by both numbers.

Least Common Multiple (LCM) of 9968 and 9973 is 99410864.

LCM(9968,9973) = 99410864

LCM of 9968 and 9973

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

LCM of:
and

Least Common Multiple of 9968 and 9973

LCM of 9968 and 9973 is 99410864

Least common multiple can be found by multiplying the highest exponent prime factors of 9968 and 9973. First we will calculate the prime factors of 9968 and 9973.

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

Prime Factorization of 9973


9973 9973
1

Prime factors of 9973 are 9973. Prime factorization of 9973 in exponential form is:

9973 = 99731

Now multiplying the highest exponent prime factors to calculate the LCM of 9968 and 9973.

LCM(9968,9973) = 24×71×891×99731
LCM(9968,9973) = 99410864

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

Factors of 9973

List of positive integer factors of 9973 that divides 9973 without a remainder.

1, 9973

Least Common Multiple of 9968 and 9973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9968 and 9973, than apply into the LCM equation.

GCF(9968,9973) = 1
LCM(9968,9973) = ( 9968 × 9973) / 1
LCM(9968,9973) = 99410864 / 1
LCM(9968,9973) = 99410864

Properties of LCM 9968 and 9973

(i) The LCM of 9973 and 9968 is associative

LCM of 9968 and 9973 = LCM of 9973 and 9968

Related Least Common Multiples of 9968

Related Least Common Multiples of 9973

Frequently Asked Questions on LCM of 9968 and 9973

1. What is the LCM of 9968 and 9973?

Answer: LCM of 9968 and 9973 is 99410864.

2. 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.

3. What are the Factors of 9973?

Answer: Factors of 9973 are 1, 9973. There are 2 integers that are factors of 9973. The greatest factor of 9973 is 9973.

4. How to Find the LCM of 9968 and 9973?

Answer:

Least Common Multiple of 9968 and 9973 = 99410864

Step 1: Find the prime factorization of 9968

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

Step 2: Find the prime factorization of 9973

9973 = 9973

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

LCM = 99410864 = 2 x 2 x 2 x 2 x 7 x 89 x 9973

Step 4: Therefore, the least common multiple of 9968 and 9973 is 99410864.