Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5059 and 5067 the smallest integer that is 25633953 that is divisible by both numbers.
Least Common Multiple (LCM) of 5059 and 5067 is 25633953.
LCM(5059,5067) = 25633953
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 5059 and 5067. First we will calculate the prime factors of 5059 and 5067.
Prime Factorization of 5059
5059 | 5059 |
1 |
Prime factors of 5059 are 5059. Prime factorization of 5059 in exponential form is:
5059 = 50591
Prime Factorization of 5067
3 | 5067 |
3 | 1689 |
563 | 563 |
1 |
Prime factors of 5067 are 3,563. Prime factorization of 5067 in exponential form is:
5067 = 32×5631
Now multiplying the highest exponent prime factors to calculate the LCM of 5059 and 5067.
LCM(5059,5067) = 32×5631×50591
LCM(5059,5067) = 25633953
Factors of 5059
List of positive integer factors of 5059 that divides 5059 without a remainder.
1, 5059
Factors of 5067
List of positive integer factors of 5067 that divides 5067 without a remainder.
1, 3, 9, 563, 1689, 5067
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5059 and 5067, than apply into the LCM equation.
GCF(5059,5067) = 1
LCM(5059,5067) = ( 5059 × 5067) / 1
LCM(5059,5067) = 25633953 / 1
LCM(5059,5067) = 25633953
(i) The LCM of 5067 and 5059 is associative
LCM of 5059 and 5067 = LCM of 5067 and 5059
1. What is the LCM of 5059 and 5067?
Answer: LCM of 5059 and 5067 is 25633953.
2. 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.
3. What are the Factors of 5067?
Answer: Factors of 5067 are 1, 3, 9, 563, 1689, 5067. There are 6 integers that are factors of 5067. The greatest factor of 5067 is 5067.
4. How to Find the LCM of 5059 and 5067?
Answer:
Least Common Multiple of 5059 and 5067 = 25633953
Step 1: Find the prime factorization of 5059
5059 = 5059
Step 2: Find the prime factorization of 5067
5067 = 3 x 3 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25633953 = 3 x 3 x 563 x 5059
Step 4: Therefore, the least common multiple of 5059 and 5067 is 25633953.