Least Common Multiple of 2949 and 2956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2949 and 2956 the smallest integer that is 8717244 that is divisible by both numbers.

Least Common Multiple (LCM) of 2949 and 2956 is 8717244.

LCM(2949,2956) = 8717244

LCM of 2949 and 2956

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

LCM of:
and

Least Common Multiple of 2949 and 2956

LCM of 2949 and 2956 is 8717244

Least common multiple can be found by multiplying the highest exponent prime factors of 2949 and 2956. First we will calculate the prime factors of 2949 and 2956.

Prime Factorization of 2949


3 2949
983 983
1

Prime factors of 2949 are 3,983. Prime factorization of 2949 in exponential form is:

2949 = 31×9831

Prime Factorization of 2956


2 2956
2 1478
739 739
1

Prime factors of 2956 are 2,739. Prime factorization of 2956 in exponential form is:

2956 = 22×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 2949 and 2956.

LCM(2949,2956) = 22×31×7391×9831
LCM(2949,2956) = 8717244

Factors of 2949

List of positive integer factors of 2949 that divides 2949 without a remainder.

1, 3, 983, 2949

Factors of 2956

List of positive integer factors of 2956 that divides 2956 without a remainder.

1, 2, 4, 739, 1478, 2956

Least Common Multiple of 2949 and 2956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2949 and 2956, than apply into the LCM equation.

GCF(2949,2956) = 1
LCM(2949,2956) = ( 2949 × 2956) / 1
LCM(2949,2956) = 8717244 / 1
LCM(2949,2956) = 8717244

Properties of LCM 2949 and 2956

(i) The LCM of 2956 and 2949 is associative

LCM of 2949 and 2956 = LCM of 2956 and 2949

Related Least Common Multiples of 2949

Related Least Common Multiples of 2956

Frequently Asked Questions on LCM of 2949 and 2956

1. What is the LCM of 2949 and 2956?

Answer: LCM of 2949 and 2956 is 8717244.

2. What are the Factors of 2949?

Answer: Factors of 2949 are 1, 3, 983, 2949. There are 4 integers that are factors of 2949. The greatest factor of 2949 is 2949.

3. What are the Factors of 2956?

Answer: Factors of 2956 are 1, 2, 4, 739, 1478, 2956. There are 6 integers that are factors of 2956. The greatest factor of 2956 is 2956.

4. How to Find the LCM of 2949 and 2956?

Answer:

Least Common Multiple of 2949 and 2956 = 8717244

Step 1: Find the prime factorization of 2949

2949 = 3 x 983

Step 2: Find the prime factorization of 2956

2956 = 2 x 2 x 739

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

LCM = 8717244 = 2 x 2 x 3 x 739 x 983

Step 4: Therefore, the least common multiple of 2949 and 2956 is 8717244.