Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5051 and 5059 the smallest integer that is 25553009 that is divisible by both numbers.
Least Common Multiple (LCM) of 5051 and 5059 is 25553009.
LCM(5051,5059) = 25553009
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 5051 and 5059. First we will calculate the prime factors of 5051 and 5059.
Prime Factorization of 5051
5051 | 5051 |
1 |
Prime factors of 5051 are 5051. Prime factorization of 5051 in exponential form is:
5051 = 50511
Prime Factorization of 5059
5059 | 5059 |
1 |
Prime factors of 5059 are 5059. Prime factorization of 5059 in exponential form is:
5059 = 50591
Now multiplying the highest exponent prime factors to calculate the LCM of 5051 and 5059.
LCM(5051,5059) = 50511×50591
LCM(5051,5059) = 25553009
Factors of 5051
List of positive integer factors of 5051 that divides 5051 without a remainder.
1, 5051
Factors of 5059
List of positive integer factors of 5059 that divides 5059 without a remainder.
1, 5059
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5051 and 5059, than apply into the LCM equation.
GCF(5051,5059) = 1
LCM(5051,5059) = ( 5051 × 5059) / 1
LCM(5051,5059) = 25553009 / 1
LCM(5051,5059) = 25553009
(i) The LCM of 5059 and 5051 is associative
LCM of 5051 and 5059 = LCM of 5059 and 5051
1. What is the LCM of 5051 and 5059?
Answer: LCM of 5051 and 5059 is 25553009.
2. What are the Factors of 5051?
Answer: Factors of 5051 are 1, 5051. There are 2 integers that are factors of 5051. The greatest factor of 5051 is 5051.
3. What are the Factors of 5059?
Answer: Factors of 5059 are 1, 5059. There are 2 integers that are factors of 5059. The greatest factor of 5059 is 5059.
4. How to Find the LCM of 5051 and 5059?
Answer:
Least Common Multiple of 5051 and 5059 = 25553009
Step 1: Find the prime factorization of 5051
5051 = 5051
Step 2: Find the prime factorization of 5059
5059 = 5059
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25553009 = 5051 x 5059
Step 4: Therefore, the least common multiple of 5051 and 5059 is 25553009.