Least Common Multiple of 2966 and 2970

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 2970 the smallest integer that is 4404510 that is divisible by both numbers.

Least Common Multiple (LCM) of 2966 and 2970 is 4404510.

LCM(2966,2970) = 4404510

LCM of 2966 and 2970

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

LCM of:
and

Least Common Multiple of 2966 and 2970

LCM of 2966 and 2970 is 4404510

Least common multiple can be found by multiplying the highest exponent prime factors of 2966 and 2970. First we will calculate the prime factors of 2966 and 2970.

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 2970


2 2970
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 2970 are 2, 3, 5,11. Prime factorization of 2970 in exponential form is:

2970 = 21×33×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2966 and 2970.

LCM(2966,2970) = 21×33×51×111×14831
LCM(2966,2970) = 4404510

Factors of 2966

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

1, 2, 1483, 2966

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970

Least Common Multiple of 2966 and 2970 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 2970, than apply into the LCM equation.

GCF(2966,2970) = 2
LCM(2966,2970) = ( 2966 × 2970) / 2
LCM(2966,2970) = 8809020 / 2
LCM(2966,2970) = 4404510

Properties of LCM 2966 and 2970

(i) The LCM of 2970 and 2966 is associative

LCM of 2966 and 2970 = LCM of 2970 and 2966

Related Least Common Multiples of 2966

Related Least Common Multiples of 2970

Frequently Asked Questions on LCM of 2966 and 2970

1. What is the LCM of 2966 and 2970?

Answer: LCM of 2966 and 2970 is 4404510.

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 2970?

Answer: Factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970. There are 32 integers that are factors of 2970. The greatest factor of 2970 is 2970.

4. How to Find the LCM of 2966 and 2970?

Answer:

Least Common Multiple of 2966 and 2970 = 4404510

Step 1: Find the prime factorization of 2966

2966 = 2 x 1483

Step 2: Find the prime factorization of 2970

2970 = 2 x 3 x 3 x 3 x 5 x 11

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

LCM = 4404510 = 2 x 3 x 3 x 3 x 5 x 11 x 1483

Step 4: Therefore, the least common multiple of 2966 and 2970 is 4404510.