Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5041 and 5048 the smallest integer that is 25446968 that is divisible by both numbers.
Least Common Multiple (LCM) of 5041 and 5048 is 25446968.
LCM(5041,5048) = 25446968
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 5041 and 5048. First we will calculate the prime factors of 5041 and 5048.
Prime Factorization of 5041
71 | 5041 |
71 | 71 |
1 |
Prime factors of 5041 are 71. Prime factorization of 5041 in exponential form is:
5041 = 712
Prime Factorization of 5048
2 | 5048 |
2 | 2524 |
2 | 1262 |
631 | 631 |
1 |
Prime factors of 5048 are 2,631. Prime factorization of 5048 in exponential form is:
5048 = 23×6311
Now multiplying the highest exponent prime factors to calculate the LCM of 5041 and 5048.
LCM(5041,5048) = 23×712×6311
LCM(5041,5048) = 25446968
Factors of 5041
List of positive integer factors of 5041 that divides 5041 without a remainder.
1, 71, 5041
Factors of 5048
List of positive integer factors of 5048 that divides 5048 without a remainder.
1, 2, 4, 8, 631, 1262, 2524, 5048
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5041 and 5048, than apply into the LCM equation.
GCF(5041,5048) = 1
LCM(5041,5048) = ( 5041 × 5048) / 1
LCM(5041,5048) = 25446968 / 1
LCM(5041,5048) = 25446968
(i) The LCM of 5048 and 5041 is associative
LCM of 5041 and 5048 = LCM of 5048 and 5041
1. What is the LCM of 5041 and 5048?
Answer: LCM of 5041 and 5048 is 25446968.
2. What are the Factors of 5041?
Answer: Factors of 5041 are 1, 71, 5041. There are 3 integers that are factors of 5041. The greatest factor of 5041 is 5041.
3. What are the Factors of 5048?
Answer: Factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048. There are 8 integers that are factors of 5048. The greatest factor of 5048 is 5048.
4. How to Find the LCM of 5041 and 5048?
Answer:
Least Common Multiple of 5041 and 5048 = 25446968
Step 1: Find the prime factorization of 5041
5041 = 71 x 71
Step 2: Find the prime factorization of 5048
5048 = 2 x 2 x 2 x 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25446968 = 2 x 2 x 2 x 71 x 71 x 631
Step 4: Therefore, the least common multiple of 5041 and 5048 is 25446968.