Least Common Multiple of 2948 and 2949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2948 and 2949 the smallest integer that is 8693652 that is divisible by both numbers.

Least Common Multiple (LCM) of 2948 and 2949 is 8693652.

LCM(2948,2949) = 8693652

LCM of 2948 and 2949

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

LCM of:
and

Least Common Multiple of 2948 and 2949

LCM of 2948 and 2949 is 8693652

Least common multiple can be found by multiplying the highest exponent prime factors of 2948 and 2949. First we will calculate the prime factors of 2948 and 2949.

Prime Factorization of 2948


2 2948
2 1474
11 737
67 67
1

Prime factors of 2948 are 2, 11,67. Prime factorization of 2948 in exponential form is:

2948 = 22×111×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2948 and 2949.

LCM(2948,2949) = 22×31×111×671×9831
LCM(2948,2949) = 8693652

Factors of 2948

List of positive integer factors of 2948 that divides 2948 without a remainder.

1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948

Factors of 2949

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

1, 3, 983, 2949

Least Common Multiple of 2948 and 2949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2948 and 2949, than apply into the LCM equation.

GCF(2948,2949) = 1
LCM(2948,2949) = ( 2948 × 2949) / 1
LCM(2948,2949) = 8693652 / 1
LCM(2948,2949) = 8693652

Properties of LCM 2948 and 2949

(i) The LCM of 2949 and 2948 is associative

LCM of 2948 and 2949 = LCM of 2949 and 2948

Related Least Common Multiples of 2948

Related Least Common Multiples of 2949

Frequently Asked Questions on LCM of 2948 and 2949

1. What is the LCM of 2948 and 2949?

Answer: LCM of 2948 and 2949 is 8693652.

2. What are the Factors of 2948?

Answer: Factors of 2948 are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948. There are 12 integers that are factors of 2948. The greatest factor of 2948 is 2948.

3. 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.

4. How to Find the LCM of 2948 and 2949?

Answer:

Least Common Multiple of 2948 and 2949 = 8693652

Step 1: Find the prime factorization of 2948

2948 = 2 x 2 x 11 x 67

Step 2: Find the prime factorization of 2949

2949 = 3 x 983

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

LCM = 8693652 = 2 x 2 x 3 x 11 x 67 x 983

Step 4: Therefore, the least common multiple of 2948 and 2949 is 8693652.