Least Common Multiple of 2966 and 2973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2966 and 2973 the smallest integer that is 8817918 that is divisible by both numbers.

Least Common Multiple (LCM) of 2966 and 2973 is 8817918.

LCM(2966,2973) = 8817918

LCM of 2966 and 2973

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

LCM of:
and

Least Common Multiple of 2966 and 2973

LCM of 2966 and 2973 is 8817918

Least common multiple can be found by multiplying the highest exponent prime factors of 2966 and 2973. First we will calculate the prime factors of 2966 and 2973.

Prime Factorization of 2966


2 2966
1483 1483
1

Prime factors of 2966 are 2,1483. Prime factorization of 2966 in exponential form is:

2966 = 21×14831

Prime Factorization of 2973


3 2973
991 991
1

Prime factors of 2973 are 3,991. Prime factorization of 2973 in exponential form is:

2973 = 31×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 2966 and 2973.

LCM(2966,2973) = 21×31×9911×14831
LCM(2966,2973) = 8817918

Factors of 2966

List of positive integer factors of 2966 that divides 2966 without a remainder.

1, 2, 1483, 2966

Factors of 2973

List of positive integer factors of 2973 that divides 2973 without a remainder.

1, 3, 991, 2973

Least Common Multiple of 2966 and 2973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2966 and 2973, than apply into the LCM equation.

GCF(2966,2973) = 1
LCM(2966,2973) = ( 2966 × 2973) / 1
LCM(2966,2973) = 8817918 / 1
LCM(2966,2973) = 8817918

Properties of LCM 2966 and 2973

(i) The LCM of 2973 and 2966 is associative

LCM of 2966 and 2973 = LCM of 2973 and 2966

Related Least Common Multiples of 2966

Related Least Common Multiples of 2973

Frequently Asked Questions on LCM of 2966 and 2973

1. What is the LCM of 2966 and 2973?

Answer: LCM of 2966 and 2973 is 8817918.

2. What are the Factors of 2966?

Answer: Factors of 2966 are 1, 2, 1483, 2966. There are 4 integers that are factors of 2966. The greatest factor of 2966 is 2966.

3. What are the Factors of 2973?

Answer: Factors of 2973 are 1, 3, 991, 2973. There are 4 integers that are factors of 2973. The greatest factor of 2973 is 2973.

4. How to Find the LCM of 2966 and 2973?

Answer:

Least Common Multiple of 2966 and 2973 = 8817918

Step 1: Find the prime factorization of 2966

2966 = 2 x 1483

Step 2: Find the prime factorization of 2973

2973 = 3 x 991

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

LCM = 8817918 = 2 x 3 x 991 x 1483

Step 4: Therefore, the least common multiple of 2966 and 2973 is 8817918.