Least Common Multiple of 2946 and 2954

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 2954 the smallest integer that is 4351242 that is divisible by both numbers.

Least Common Multiple (LCM) of 2946 and 2954 is 4351242.

LCM(2946,2954) = 4351242

LCM of 2946 and 2954

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

LCM of:
and

Least Common Multiple of 2946 and 2954

LCM of 2946 and 2954 is 4351242

Least common multiple can be found by multiplying the highest exponent prime factors of 2946 and 2954. First we will calculate the prime factors of 2946 and 2954.

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 2954


2 2954
7 1477
211 211
1

Prime factors of 2954 are 2, 7,211. Prime factorization of 2954 in exponential form is:

2954 = 21×71×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 2946 and 2954.

LCM(2946,2954) = 21×31×71×2111×4911
LCM(2946,2954) = 4351242

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 2954

List of positive integer factors of 2954 that divides 2954 without a remainder.

1, 2, 7, 14, 211, 422, 1477, 2954

Least Common Multiple of 2946 and 2954 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 2954, than apply into the LCM equation.

GCF(2946,2954) = 2
LCM(2946,2954) = ( 2946 × 2954) / 2
LCM(2946,2954) = 8702484 / 2
LCM(2946,2954) = 4351242

Properties of LCM 2946 and 2954

(i) The LCM of 2954 and 2946 is associative

LCM of 2946 and 2954 = LCM of 2954 and 2946

Related Least Common Multiples of 2946

Related Least Common Multiples of 2954

Frequently Asked Questions on LCM of 2946 and 2954

1. What is the LCM of 2946 and 2954?

Answer: LCM of 2946 and 2954 is 4351242.

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 2954?

Answer: Factors of 2954 are 1, 2, 7, 14, 211, 422, 1477, 2954. There are 8 integers that are factors of 2954. The greatest factor of 2954 is 2954.

4. How to Find the LCM of 2946 and 2954?

Answer:

Least Common Multiple of 2946 and 2954 = 4351242

Step 1: Find the prime factorization of 2946

2946 = 2 x 3 x 491

Step 2: Find the prime factorization of 2954

2954 = 2 x 7 x 211

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

LCM = 4351242 = 2 x 3 x 7 x 211 x 491

Step 4: Therefore, the least common multiple of 2946 and 2954 is 4351242.