Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2941 and 2948 the smallest integer that is 8670068 that is divisible by both numbers.
Least Common Multiple (LCM) of 2941 and 2948 is 8670068.
LCM(2941,2948) = 8670068
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 2941 and 2948. First we will calculate the prime factors of 2941 and 2948.
Prime Factorization of 2941
17 | 2941 |
173 | 173 |
1 |
Prime factors of 2941 are 17,173. Prime factorization of 2941 in exponential form is:
2941 = 171×1731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2941 and 2948.
LCM(2941,2948) = 22×111×171×671×1731
LCM(2941,2948) = 8670068
Factors of 2941
List of positive integer factors of 2941 that divides 2941 without a remainder.
1, 17, 173, 2941
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2941 and 2948, than apply into the LCM equation.
GCF(2941,2948) = 1
LCM(2941,2948) = ( 2941 × 2948) / 1
LCM(2941,2948) = 8670068 / 1
LCM(2941,2948) = 8670068
(i) The LCM of 2948 and 2941 is associative
LCM of 2941 and 2948 = LCM of 2948 and 2941
1. What is the LCM of 2941 and 2948?
Answer: LCM of 2941 and 2948 is 8670068.
2. What are the Factors of 2941?
Answer: Factors of 2941 are 1, 17, 173, 2941. There are 4 integers that are factors of 2941. The greatest factor of 2941 is 2941.
3. 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.
4. How to Find the LCM of 2941 and 2948?
Answer:
Least Common Multiple of 2941 and 2948 = 8670068
Step 1: Find the prime factorization of 2941
2941 = 17 x 173
Step 2: Find the prime factorization of 2948
2948 = 2 x 2 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8670068 = 2 x 2 x 11 x 17 x 67 x 173
Step 4: Therefore, the least common multiple of 2941 and 2948 is 8670068.