Least Common Multiple of 2946 and 2952

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 2952 the smallest integer that is 1449432 that is divisible by both numbers.

Least Common Multiple (LCM) of 2946 and 2952 is 1449432.

LCM(2946,2952) = 1449432

LCM of 2946 and 2952

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

LCM of:
and

Least Common Multiple of 2946 and 2952

LCM of 2946 and 2952 is 1449432

Least common multiple can be found by multiplying the highest exponent prime factors of 2946 and 2952. First we will calculate the prime factors of 2946 and 2952.

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 2952


2 2952
2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 2952 are 2, 3,41. Prime factorization of 2952 in exponential form is:

2952 = 23×32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2946 and 2952.

LCM(2946,2952) = 23×32×411×4911
LCM(2946,2952) = 1449432

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 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952

Least Common Multiple of 2946 and 2952 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 2952, than apply into the LCM equation.

GCF(2946,2952) = 6
LCM(2946,2952) = ( 2946 × 2952) / 6
LCM(2946,2952) = 8696592 / 6
LCM(2946,2952) = 1449432

Properties of LCM 2946 and 2952

(i) The LCM of 2952 and 2946 is associative

LCM of 2946 and 2952 = LCM of 2952 and 2946

Related Least Common Multiples of 2946

Related Least Common Multiples of 2952

Frequently Asked Questions on LCM of 2946 and 2952

1. What is the LCM of 2946 and 2952?

Answer: LCM of 2946 and 2952 is 1449432.

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 2952?

Answer: Factors of 2952 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952. There are 24 integers that are factors of 2952. The greatest factor of 2952 is 2952.

4. How to Find the LCM of 2946 and 2952?

Answer:

Least Common Multiple of 2946 and 2952 = 1449432

Step 1: Find the prime factorization of 2946

2946 = 2 x 3 x 491

Step 2: Find the prime factorization of 2952

2952 = 2 x 2 x 2 x 3 x 3 x 41

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

LCM = 1449432 = 2 x 2 x 2 x 3 x 3 x 41 x 491

Step 4: Therefore, the least common multiple of 2946 and 2952 is 1449432.