Least Common Multiple of 2946 and 2951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2946 and 2951 the smallest integer that is 8693646 that is divisible by both numbers.

Least Common Multiple (LCM) of 2946 and 2951 is 8693646.

LCM(2946,2951) = 8693646

LCM of 2946 and 2951

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

LCM of:
and

Least Common Multiple of 2946 and 2951

LCM of 2946 and 2951 is 8693646

Least common multiple can be found by multiplying the highest exponent prime factors of 2946 and 2951. First we will calculate the prime factors of 2946 and 2951.

Prime Factorization of 2946


2 2946
3 1473
491 491
1

Prime factors of 2946 are 2, 3,491. Prime factorization of 2946 in exponential form is:

2946 = 21×31×4911

Prime Factorization of 2951


13 2951
227 227
1

Prime factors of 2951 are 13,227. Prime factorization of 2951 in exponential form is:

2951 = 131×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2946 and 2951.

LCM(2946,2951) = 21×31×131×2271×4911
LCM(2946,2951) = 8693646

Factors of 2946

List of positive integer factors of 2946 that divides 2946 without a remainder.

1, 2, 3, 6, 491, 982, 1473, 2946

Factors of 2951

List of positive integer factors of 2951 that divides 2951 without a remainder.

1, 13, 227, 2951

Least Common Multiple of 2946 and 2951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2946 and 2951, than apply into the LCM equation.

GCF(2946,2951) = 1
LCM(2946,2951) = ( 2946 × 2951) / 1
LCM(2946,2951) = 8693646 / 1
LCM(2946,2951) = 8693646

Properties of LCM 2946 and 2951

(i) The LCM of 2951 and 2946 is associative

LCM of 2946 and 2951 = LCM of 2951 and 2946

Related Least Common Multiples of 2946

Related Least Common Multiples of 2951

Frequently Asked Questions on LCM of 2946 and 2951

1. What is the LCM of 2946 and 2951?

Answer: LCM of 2946 and 2951 is 8693646.

2. What are the Factors of 2946?

Answer: Factors of 2946 are 1, 2, 3, 6, 491, 982, 1473, 2946. There are 8 integers that are factors of 2946. The greatest factor of 2946 is 2946.

3. What are the Factors of 2951?

Answer: Factors of 2951 are 1, 13, 227, 2951. There are 4 integers that are factors of 2951. The greatest factor of 2951 is 2951.

4. How to Find the LCM of 2946 and 2951?

Answer:

Least Common Multiple of 2946 and 2951 = 8693646

Step 1: Find the prime factorization of 2946

2946 = 2 x 3 x 491

Step 2: Find the prime factorization of 2951

2951 = 13 x 227

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

LCM = 8693646 = 2 x 3 x 13 x 227 x 491

Step 4: Therefore, the least common multiple of 2946 and 2951 is 8693646.