Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2942 and 2949 the smallest integer that is 8675958 that is divisible by both numbers.
Least Common Multiple (LCM) of 2942 and 2949 is 8675958.
LCM(2942,2949) = 8675958
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 2942 and 2949. First we will calculate the prime factors of 2942 and 2949.
Prime Factorization of 2942
2 | 2942 |
1471 | 1471 |
1 |
Prime factors of 2942 are 2,1471. Prime factorization of 2942 in exponential form is:
2942 = 21×14711
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 2942 and 2949.
LCM(2942,2949) = 21×31×9831×14711
LCM(2942,2949) = 8675958
Factors of 2942
List of positive integer factors of 2942 that divides 2942 without a remainder.
1, 2, 1471, 2942
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 2942 and 2949, than apply into the LCM equation.
GCF(2942,2949) = 1
LCM(2942,2949) = ( 2942 × 2949) / 1
LCM(2942,2949) = 8675958 / 1
LCM(2942,2949) = 8675958
(i) The LCM of 2949 and 2942 is associative
LCM of 2942 and 2949 = LCM of 2949 and 2942
1. What is the LCM of 2942 and 2949?
Answer: LCM of 2942 and 2949 is 8675958.
2. What are the Factors of 2942?
Answer: Factors of 2942 are 1, 2, 1471, 2942. There are 4 integers that are factors of 2942. The greatest factor of 2942 is 2942.
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 2942 and 2949?
Answer:
Least Common Multiple of 2942 and 2949 = 8675958
Step 1: Find the prime factorization of 2942
2942 = 2 x 1471
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 = 8675958 = 2 x 3 x 983 x 1471
Step 4: Therefore, the least common multiple of 2942 and 2949 is 8675958.