Least Common Multiple of 2966 and 2968

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 2968 the smallest integer that is 4401544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2966 and 2968 is 4401544.

LCM(2966,2968) = 4401544

LCM of 2966 and 2968

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

LCM of:
and

Least Common Multiple of 2966 and 2968

LCM of 2966 and 2968 is 4401544

Least common multiple can be found by multiplying the highest exponent prime factors of 2966 and 2968. First we will calculate the prime factors of 2966 and 2968.

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 2968


2 2968
2 1484
2 742
7 371
53 53
1

Prime factors of 2968 are 2, 7,53. Prime factorization of 2968 in exponential form is:

2968 = 23×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2966 and 2968.

LCM(2966,2968) = 23×71×531×14831
LCM(2966,2968) = 4401544

Factors of 2966

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

1, 2, 1483, 2966

Factors of 2968

List of positive integer factors of 2968 that divides 2968 without a remainder.

1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968

Least Common Multiple of 2966 and 2968 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 2968, than apply into the LCM equation.

GCF(2966,2968) = 2
LCM(2966,2968) = ( 2966 × 2968) / 2
LCM(2966,2968) = 8803088 / 2
LCM(2966,2968) = 4401544

Properties of LCM 2966 and 2968

(i) The LCM of 2968 and 2966 is associative

LCM of 2966 and 2968 = LCM of 2968 and 2966

Related Least Common Multiples of 2966

Related Least Common Multiples of 2968

Frequently Asked Questions on LCM of 2966 and 2968

1. What is the LCM of 2966 and 2968?

Answer: LCM of 2966 and 2968 is 4401544.

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 2968?

Answer: Factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968. There are 16 integers that are factors of 2968. The greatest factor of 2968 is 2968.

4. How to Find the LCM of 2966 and 2968?

Answer:

Least Common Multiple of 2966 and 2968 = 4401544

Step 1: Find the prime factorization of 2966

2966 = 2 x 1483

Step 2: Find the prime factorization of 2968

2968 = 2 x 2 x 2 x 7 x 53

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

LCM = 4401544 = 2 x 2 x 2 x 7 x 53 x 1483

Step 4: Therefore, the least common multiple of 2966 and 2968 is 4401544.