Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5073 and 5077 the smallest integer that is 25755621 that is divisible by both numbers.
Least Common Multiple (LCM) of 5073 and 5077 is 25755621.
LCM(5073,5077) = 25755621
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 5073 and 5077. First we will calculate the prime factors of 5073 and 5077.
Prime Factorization of 5073
3 | 5073 |
19 | 1691 |
89 | 89 |
1 |
Prime factors of 5073 are 3, 19,89. Prime factorization of 5073 in exponential form is:
5073 = 31×191×891
Prime Factorization of 5077
5077 | 5077 |
1 |
Prime factors of 5077 are 5077. Prime factorization of 5077 in exponential form is:
5077 = 50771
Now multiplying the highest exponent prime factors to calculate the LCM of 5073 and 5077.
LCM(5073,5077) = 31×191×891×50771
LCM(5073,5077) = 25755621
Factors of 5073
List of positive integer factors of 5073 that divides 5073 without a remainder.
1, 3, 19, 57, 89, 267, 1691, 5073
Factors of 5077
List of positive integer factors of 5077 that divides 5077 without a remainder.
1, 5077
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5073 and 5077, than apply into the LCM equation.
GCF(5073,5077) = 1
LCM(5073,5077) = ( 5073 × 5077) / 1
LCM(5073,5077) = 25755621 / 1
LCM(5073,5077) = 25755621
(i) The LCM of 5077 and 5073 is associative
LCM of 5073 and 5077 = LCM of 5077 and 5073
1. What is the LCM of 5073 and 5077?
Answer: LCM of 5073 and 5077 is 25755621.
2. What are the Factors of 5073?
Answer: Factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073. There are 8 integers that are factors of 5073. The greatest factor of 5073 is 5073.
3. What are the Factors of 5077?
Answer: Factors of 5077 are 1, 5077. There are 2 integers that are factors of 5077. The greatest factor of 5077 is 5077.
4. How to Find the LCM of 5073 and 5077?
Answer:
Least Common Multiple of 5073 and 5077 = 25755621
Step 1: Find the prime factorization of 5073
5073 = 3 x 19 x 89
Step 2: Find the prime factorization of 5077
5077 = 5077
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25755621 = 3 x 19 x 89 x 5077
Step 4: Therefore, the least common multiple of 5073 and 5077 is 25755621.