Least Common Multiple of 7966 and 7970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7966 and 7970 the smallest integer that is 31744510 that is divisible by both numbers.

Least Common Multiple (LCM) of 7966 and 7970 is 31744510.

LCM(7966,7970) = 31744510

LCM of 7966 and 7970

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

LCM of:
and

Least Common Multiple of 7966 and 7970

LCM of 7966 and 7970 is 31744510

Least common multiple can be found by multiplying the highest exponent prime factors of 7966 and 7970. First we will calculate the prime factors of 7966 and 7970.

Prime Factorization of 7966


2 7966
7 3983
569 569
1

Prime factors of 7966 are 2, 7,569. Prime factorization of 7966 in exponential form is:

7966 = 21×71×5691

Prime Factorization of 7970


2 7970
5 3985
797 797
1

Prime factors of 7970 are 2, 5,797. Prime factorization of 7970 in exponential form is:

7970 = 21×51×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 7966 and 7970.

LCM(7966,7970) = 21×51×71×5691×7971
LCM(7966,7970) = 31744510

Factors of 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1, 2, 7, 14, 569, 1138, 3983, 7966

Factors of 7970

List of positive integer factors of 7970 that divides 7970 without a remainder.

1, 2, 5, 10, 797, 1594, 3985, 7970

Least Common Multiple of 7966 and 7970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7966 and 7970, than apply into the LCM equation.

GCF(7966,7970) = 2
LCM(7966,7970) = ( 7966 × 7970) / 2
LCM(7966,7970) = 63489020 / 2
LCM(7966,7970) = 31744510

Properties of LCM 7966 and 7970

(i) The LCM of 7970 and 7966 is associative

LCM of 7966 and 7970 = LCM of 7970 and 7966

Related Least Common Multiples of 7966

Related Least Common Multiples of 7970

Frequently Asked Questions on LCM of 7966 and 7970

1. What is the LCM of 7966 and 7970?

Answer: LCM of 7966 and 7970 is 31744510.

2. What are the Factors of 7966?

Answer: Factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966. There are 8 integers that are factors of 7966. The greatest factor of 7966 is 7966.

3. What are the Factors of 7970?

Answer: Factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970. There are 8 integers that are factors of 7970. The greatest factor of 7970 is 7970.

4. How to Find the LCM of 7966 and 7970?

Answer:

Least Common Multiple of 7966 and 7970 = 31744510

Step 1: Find the prime factorization of 7966

7966 = 2 x 7 x 569

Step 2: Find the prime factorization of 7970

7970 = 2 x 5 x 797

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

LCM = 31744510 = 2 x 5 x 7 x 569 x 797

Step 4: Therefore, the least common multiple of 7966 and 7970 is 31744510.