Least Common Multiple of 2949 and 2953

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 2953 the smallest integer that is 8708397 that is divisible by both numbers.

Least Common Multiple (LCM) of 2949 and 2953 is 8708397.

LCM(2949,2953) = 8708397

LCM of 2949 and 2953

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

LCM of:
and

Least Common Multiple of 2949 and 2953

LCM of 2949 and 2953 is 8708397

Least common multiple can be found by multiplying the highest exponent prime factors of 2949 and 2953. First we will calculate the prime factors of 2949 and 2953.

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 2953


2953 2953
1

Prime factors of 2953 are 2953. Prime factorization of 2953 in exponential form is:

2953 = 29531

Now multiplying the highest exponent prime factors to calculate the LCM of 2949 and 2953.

LCM(2949,2953) = 31×9831×29531
LCM(2949,2953) = 8708397

Factors of 2949

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

1, 3, 983, 2949

Factors of 2953

List of positive integer factors of 2953 that divides 2953 without a remainder.

1, 2953

Least Common Multiple of 2949 and 2953 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 2953, than apply into the LCM equation.

GCF(2949,2953) = 1
LCM(2949,2953) = ( 2949 × 2953) / 1
LCM(2949,2953) = 8708397 / 1
LCM(2949,2953) = 8708397

Properties of LCM 2949 and 2953

(i) The LCM of 2953 and 2949 is associative

LCM of 2949 and 2953 = LCM of 2953 and 2949

Related Least Common Multiples of 2949

Related Least Common Multiples of 2953

Frequently Asked Questions on LCM of 2949 and 2953

1. What is the LCM of 2949 and 2953?

Answer: LCM of 2949 and 2953 is 8708397.

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 2953?

Answer: Factors of 2953 are 1, 2953. There are 2 integers that are factors of 2953. The greatest factor of 2953 is 2953.

4. How to Find the LCM of 2949 and 2953?

Answer:

Least Common Multiple of 2949 and 2953 = 8708397

Step 1: Find the prime factorization of 2949

2949 = 3 x 983

Step 2: Find the prime factorization of 2953

2953 = 2953

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

LCM = 8708397 = 3 x 983 x 2953

Step 4: Therefore, the least common multiple of 2949 and 2953 is 8708397.