Least Common Multiple of 2962 and 2966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2962 and 2966 the smallest integer that is 4392646 that is divisible by both numbers.

Least Common Multiple (LCM) of 2962 and 2966 is 4392646.

LCM(2962,2966) = 4392646

LCM of 2962 and 2966

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

LCM of:
and

Least Common Multiple of 2962 and 2966

LCM of 2962 and 2966 is 4392646

Least common multiple can be found by multiplying the highest exponent prime factors of 2962 and 2966. First we will calculate the prime factors of 2962 and 2966.

Prime Factorization of 2962


2 2962
1481 1481
1

Prime factors of 2962 are 2,1481. Prime factorization of 2962 in exponential form is:

2962 = 21×14811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2962 and 2966.

LCM(2962,2966) = 21×14811×14831
LCM(2962,2966) = 4392646

Factors of 2962

List of positive integer factors of 2962 that divides 2962 without a remainder.

1, 2, 1481, 2962

Factors of 2966

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

1, 2, 1483, 2966

Least Common Multiple of 2962 and 2966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2962 and 2966, than apply into the LCM equation.

GCF(2962,2966) = 2
LCM(2962,2966) = ( 2962 × 2966) / 2
LCM(2962,2966) = 8785292 / 2
LCM(2962,2966) = 4392646

Properties of LCM 2962 and 2966

(i) The LCM of 2966 and 2962 is associative

LCM of 2962 and 2966 = LCM of 2966 and 2962

Related Least Common Multiples of 2962

Related Least Common Multiples of 2966

Frequently Asked Questions on LCM of 2962 and 2966

1. What is the LCM of 2962 and 2966?

Answer: LCM of 2962 and 2966 is 4392646.

2. What are the Factors of 2962?

Answer: Factors of 2962 are 1, 2, 1481, 2962. There are 4 integers that are factors of 2962. The greatest factor of 2962 is 2962.

3. 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.

4. How to Find the LCM of 2962 and 2966?

Answer:

Least Common Multiple of 2962 and 2966 = 4392646

Step 1: Find the prime factorization of 2962

2962 = 2 x 1481

Step 2: Find the prime factorization of 2966

2966 = 2 x 1483

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

LCM = 4392646 = 2 x 1481 x 1483

Step 4: Therefore, the least common multiple of 2962 and 2966 is 4392646.