Least Common Multiple of 9968 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 9968 and 9970 the smallest integer that is 49690480 that is divisible by both numbers.

Least Common Multiple (LCM) of 9968 and 9970 is 49690480.

LCM(9968,9970) = 49690480

LCM of 9968 and 9970

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

LCM of:
and

Least Common Multiple of 9968 and 9970

LCM of 9968 and 9970 is 49690480

Least common multiple can be found by multiplying the highest exponent prime factors of 9968 and 9970. First we will calculate the prime factors of 9968 and 9970.

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 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 9968 and 9970.

LCM(9968,9970) = 24×51×71×891×9971
LCM(9968,9970) = 49690480

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 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 9968 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 9968 and 9970, than apply into the LCM equation.

GCF(9968,9970) = 2
LCM(9968,9970) = ( 9968 × 9970) / 2
LCM(9968,9970) = 99380960 / 2
LCM(9968,9970) = 49690480

Properties of LCM 9968 and 9970

(i) The LCM of 9970 and 9968 is associative

LCM of 9968 and 9970 = LCM of 9970 and 9968

Related Least Common Multiples of 9968

Related Least Common Multiples of 9970

Frequently Asked Questions on LCM of 9968 and 9970

1. What is the LCM of 9968 and 9970?

Answer: LCM of 9968 and 9970 is 49690480.

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 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 9968 and 9970?

Answer:

Least Common Multiple of 9968 and 9970 = 49690480

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 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 = 49690480 = 2 x 2 x 2 x 2 x 5 x 7 x 89 x 997

Step 4: Therefore, the least common multiple of 9968 and 9970 is 49690480.