Least Common Multiple of 8966 and 8970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8966 and 8970 the smallest integer that is 40212510 that is divisible by both numbers.

Least Common Multiple (LCM) of 8966 and 8970 is 40212510.

LCM(8966,8970) = 40212510

LCM of 8966 and 8970

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

LCM of:
and

Least Common Multiple of 8966 and 8970

LCM of 8966 and 8970 is 40212510

Least common multiple can be found by multiplying the highest exponent prime factors of 8966 and 8970. First we will calculate the prime factors of 8966 and 8970.

Prime Factorization of 8966


2 8966
4483 4483
1

Prime factors of 8966 are 2,4483. Prime factorization of 8966 in exponential form is:

8966 = 21×44831

Prime Factorization of 8970


2 8970
3 4485
5 1495
13 299
23 23
1

Prime factors of 8970 are 2, 3, 5, 13,23. Prime factorization of 8970 in exponential form is:

8970 = 21×31×51×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8966 and 8970.

LCM(8966,8970) = 21×31×51×131×231×44831
LCM(8966,8970) = 40212510

Factors of 8966

List of positive integer factors of 8966 that divides 8966 without a remainder.

1, 2, 4483, 8966

Factors of 8970

List of positive integer factors of 8970 that divides 8970 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970

Least Common Multiple of 8966 and 8970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8966 and 8970, than apply into the LCM equation.

GCF(8966,8970) = 2
LCM(8966,8970) = ( 8966 × 8970) / 2
LCM(8966,8970) = 80425020 / 2
LCM(8966,8970) = 40212510

Properties of LCM 8966 and 8970

(i) The LCM of 8970 and 8966 is associative

LCM of 8966 and 8970 = LCM of 8970 and 8966

Related Least Common Multiples of 8966

Related Least Common Multiples of 8970

Frequently Asked Questions on LCM of 8966 and 8970

1. What is the LCM of 8966 and 8970?

Answer: LCM of 8966 and 8970 is 40212510.

2. What are the Factors of 8966?

Answer: Factors of 8966 are 1, 2, 4483, 8966. There are 4 integers that are factors of 8966. The greatest factor of 8966 is 8966.

3. What are the Factors of 8970?

Answer: Factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970. There are 32 integers that are factors of 8970. The greatest factor of 8970 is 8970.

4. How to Find the LCM of 8966 and 8970?

Answer:

Least Common Multiple of 8966 and 8970 = 40212510

Step 1: Find the prime factorization of 8966

8966 = 2 x 4483

Step 2: Find the prime factorization of 8970

8970 = 2 x 3 x 5 x 13 x 23

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

LCM = 40212510 = 2 x 3 x 5 x 13 x 23 x 4483

Step 4: Therefore, the least common multiple of 8966 and 8970 is 40212510.