Least Common Multiple of 8966 and 8972

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 8972 the smallest integer that is 40221476 that is divisible by both numbers.

Least Common Multiple (LCM) of 8966 and 8972 is 40221476.

LCM(8966,8972) = 40221476

LCM of 8966 and 8972

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

LCM of:
and

Least Common Multiple of 8966 and 8972

LCM of 8966 and 8972 is 40221476

Least common multiple can be found by multiplying the highest exponent prime factors of 8966 and 8972. First we will calculate the prime factors of 8966 and 8972.

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 8972


2 8972
2 4486
2243 2243
1

Prime factors of 8972 are 2,2243. Prime factorization of 8972 in exponential form is:

8972 = 22×22431

Now multiplying the highest exponent prime factors to calculate the LCM of 8966 and 8972.

LCM(8966,8972) = 22×22431×44831
LCM(8966,8972) = 40221476

Factors of 8966

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

1, 2, 4483, 8966

Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1, 2, 4, 2243, 4486, 8972

Least Common Multiple of 8966 and 8972 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 8972, than apply into the LCM equation.

GCF(8966,8972) = 2
LCM(8966,8972) = ( 8966 × 8972) / 2
LCM(8966,8972) = 80442952 / 2
LCM(8966,8972) = 40221476

Properties of LCM 8966 and 8972

(i) The LCM of 8972 and 8966 is associative

LCM of 8966 and 8972 = LCM of 8972 and 8966

Related Least Common Multiples of 8966

Related Least Common Multiples of 8972

Frequently Asked Questions on LCM of 8966 and 8972

1. What is the LCM of 8966 and 8972?

Answer: LCM of 8966 and 8972 is 40221476.

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 8972?

Answer: Factors of 8972 are 1, 2, 4, 2243, 4486, 8972. There are 6 integers that are factors of 8972. The greatest factor of 8972 is 8972.

4. How to Find the LCM of 8966 and 8972?

Answer:

Least Common Multiple of 8966 and 8972 = 40221476

Step 1: Find the prime factorization of 8966

8966 = 2 x 4483

Step 2: Find the prime factorization of 8972

8972 = 2 x 2 x 2243

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

LCM = 40221476 = 2 x 2 x 2243 x 4483

Step 4: Therefore, the least common multiple of 8966 and 8972 is 40221476.