Least Common Multiple of 7962 and 7966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7962 and 7966 the smallest integer that is 31712646 that is divisible by both numbers.

Least Common Multiple (LCM) of 7962 and 7966 is 31712646.

LCM(7962,7966) = 31712646

LCM of 7962 and 7966

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

LCM of:
and

Least Common Multiple of 7962 and 7966

LCM of 7962 and 7966 is 31712646

Least common multiple can be found by multiplying the highest exponent prime factors of 7962 and 7966. First we will calculate the prime factors of 7962 and 7966.

Prime Factorization of 7962


2 7962
3 3981
1327 1327
1

Prime factors of 7962 are 2, 3,1327. Prime factorization of 7962 in exponential form is:

7962 = 21×31×13271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7962 and 7966.

LCM(7962,7966) = 21×31×71×5691×13271
LCM(7962,7966) = 31712646

Factors of 7962

List of positive integer factors of 7962 that divides 7962 without a remainder.

1, 2, 3, 6, 1327, 2654, 3981, 7962

Factors of 7966

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

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

Least Common Multiple of 7962 and 7966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7962 and 7966, than apply into the LCM equation.

GCF(7962,7966) = 2
LCM(7962,7966) = ( 7962 × 7966) / 2
LCM(7962,7966) = 63425292 / 2
LCM(7962,7966) = 31712646

Properties of LCM 7962 and 7966

(i) The LCM of 7966 and 7962 is associative

LCM of 7962 and 7966 = LCM of 7966 and 7962

Related Least Common Multiples of 7962

Related Least Common Multiples of 7966

Frequently Asked Questions on LCM of 7962 and 7966

1. What is the LCM of 7962 and 7966?

Answer: LCM of 7962 and 7966 is 31712646.

2. What are the Factors of 7962?

Answer: Factors of 7962 are 1, 2, 3, 6, 1327, 2654, 3981, 7962. There are 8 integers that are factors of 7962. The greatest factor of 7962 is 7962.

3. 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.

4. How to Find the LCM of 7962 and 7966?

Answer:

Least Common Multiple of 7962 and 7966 = 31712646

Step 1: Find the prime factorization of 7962

7962 = 2 x 3 x 1327

Step 2: Find the prime factorization of 7966

7966 = 2 x 7 x 569

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

LCM = 31712646 = 2 x 3 x 7 x 569 x 1327

Step 4: Therefore, the least common multiple of 7962 and 7966 is 31712646.