Least Common Multiple of 2949 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 2949 and 2954 the smallest integer that is 8711346 that is divisible by both numbers.

Least Common Multiple (LCM) of 2949 and 2954 is 8711346.

LCM(2949,2954) = 8711346

LCM of 2949 and 2954

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

LCM of:
and

Least Common Multiple of 2949 and 2954

LCM of 2949 and 2954 is 8711346

Least common multiple can be found by multiplying the highest exponent prime factors of 2949 and 2954. First we will calculate the prime factors of 2949 and 2954.

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 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 2949 and 2954.

LCM(2949,2954) = 21×31×71×2111×9831
LCM(2949,2954) = 8711346

Factors of 2949

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

1, 3, 983, 2949

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 2949 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 2949 and 2954, than apply into the LCM equation.

GCF(2949,2954) = 1
LCM(2949,2954) = ( 2949 × 2954) / 1
LCM(2949,2954) = 8711346 / 1
LCM(2949,2954) = 8711346

Properties of LCM 2949 and 2954

(i) The LCM of 2954 and 2949 is associative

LCM of 2949 and 2954 = LCM of 2954 and 2949

Related Least Common Multiples of 2949

Related Least Common Multiples of 2954

Frequently Asked Questions on LCM of 2949 and 2954

1. What is the LCM of 2949 and 2954?

Answer: LCM of 2949 and 2954 is 8711346.

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 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 2949 and 2954?

Answer:

Least Common Multiple of 2949 and 2954 = 8711346

Step 1: Find the prime factorization of 2949

2949 = 3 x 983

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 = 8711346 = 2 x 3 x 7 x 211 x 983

Step 4: Therefore, the least common multiple of 2949 and 2954 is 8711346.