Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2945 and 2949 the smallest integer that is 8684805 that is divisible by both numbers.
Least Common Multiple (LCM) of 2945 and 2949 is 8684805.
LCM(2945,2949) = 8684805
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2945 and 2949. First we will calculate the prime factors of 2945 and 2949.
Prime Factorization of 2945
5 | 2945 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 2945 are 5, 19,31. Prime factorization of 2945 in exponential form is:
2945 = 51×191×311
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 2945 and 2949.
LCM(2945,2949) = 31×51×191×311×9831
LCM(2945,2949) = 8684805
Factors of 2945
List of positive integer factors of 2945 that divides 2945 without a remainder.
1, 5, 19, 31, 95, 155, 589, 2945
Factors of 2949
List of positive integer factors of 2949 that divides 2949 without a remainder.
1, 3, 983, 2949
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2945 and 2949, than apply into the LCM equation.
GCF(2945,2949) = 1
LCM(2945,2949) = ( 2945 × 2949) / 1
LCM(2945,2949) = 8684805 / 1
LCM(2945,2949) = 8684805
(i) The LCM of 2949 and 2945 is associative
LCM of 2945 and 2949 = LCM of 2949 and 2945
1. What is the LCM of 2945 and 2949?
Answer: LCM of 2945 and 2949 is 8684805.
2. What are the Factors of 2945?
Answer: Factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945. There are 8 integers that are factors of 2945. The greatest factor of 2945 is 2945.
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 2945 and 2949?
Answer:
Least Common Multiple of 2945 and 2949 = 8684805
Step 1: Find the prime factorization of 2945
2945 = 5 x 19 x 31
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 = 8684805 = 3 x 5 x 19 x 31 x 983
Step 4: Therefore, the least common multiple of 2945 and 2949 is 8684805.