Least Common Multiple of 2966 and 2967

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 2967 the smallest integer that is 8800122 that is divisible by both numbers.

Least Common Multiple (LCM) of 2966 and 2967 is 8800122.

LCM(2966,2967) = 8800122

LCM of 2966 and 2967

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

LCM of:
and

Least Common Multiple of 2966 and 2967

LCM of 2966 and 2967 is 8800122

Least common multiple can be found by multiplying the highest exponent prime factors of 2966 and 2967. First we will calculate the prime factors of 2966 and 2967.

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 2967


3 2967
23 989
43 43
1

Prime factors of 2967 are 3, 23,43. Prime factorization of 2967 in exponential form is:

2967 = 31×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2966 and 2967.

LCM(2966,2967) = 21×31×231×431×14831
LCM(2966,2967) = 8800122

Factors of 2966

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

1, 2, 1483, 2966

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1, 3, 23, 43, 69, 129, 989, 2967

Least Common Multiple of 2966 and 2967 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 2967, than apply into the LCM equation.

GCF(2966,2967) = 1
LCM(2966,2967) = ( 2966 × 2967) / 1
LCM(2966,2967) = 8800122 / 1
LCM(2966,2967) = 8800122

Properties of LCM 2966 and 2967

(i) The LCM of 2967 and 2966 is associative

LCM of 2966 and 2967 = LCM of 2967 and 2966

Related Least Common Multiples of 2966

Related Least Common Multiples of 2967

Frequently Asked Questions on LCM of 2966 and 2967

1. What is the LCM of 2966 and 2967?

Answer: LCM of 2966 and 2967 is 8800122.

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 2967?

Answer: Factors of 2967 are 1, 3, 23, 43, 69, 129, 989, 2967. There are 8 integers that are factors of 2967. The greatest factor of 2967 is 2967.

4. How to Find the LCM of 2966 and 2967?

Answer:

Least Common Multiple of 2966 and 2967 = 8800122

Step 1: Find the prime factorization of 2966

2966 = 2 x 1483

Step 2: Find the prime factorization of 2967

2967 = 3 x 23 x 43

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

LCM = 8800122 = 2 x 3 x 23 x 43 x 1483

Step 4: Therefore, the least common multiple of 2966 and 2967 is 8800122.