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 5079 the smallest integer that is 8588589 that is divisible by both numbers.
Least Common Multiple (LCM) of 5073 and 5079 is 8588589.
LCM(5073,5079) = 8588589
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 5079. First we will calculate the prime factors of 5073 and 5079.
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 5079
3 | 5079 |
1693 | 1693 |
1 |
Prime factors of 5079 are 3,1693. Prime factorization of 5079 in exponential form is:
5079 = 31×16931
Now multiplying the highest exponent prime factors to calculate the LCM of 5073 and 5079.
LCM(5073,5079) = 31×191×891×16931
LCM(5073,5079) = 8588589
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 5079
List of positive integer factors of 5079 that divides 5079 without a remainder.
1, 3, 1693, 5079
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5073 and 5079, than apply into the LCM equation.
GCF(5073,5079) = 3
LCM(5073,5079) = ( 5073 × 5079) / 3
LCM(5073,5079) = 25765767 / 3
LCM(5073,5079) = 8588589
(i) The LCM of 5079 and 5073 is associative
LCM of 5073 and 5079 = LCM of 5079 and 5073
1. What is the LCM of 5073 and 5079?
Answer: LCM of 5073 and 5079 is 8588589.
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 5079?
Answer: Factors of 5079 are 1, 3, 1693, 5079. There are 4 integers that are factors of 5079. The greatest factor of 5079 is 5079.
4. How to Find the LCM of 5073 and 5079?
Answer:
Least Common Multiple of 5073 and 5079 = 8588589
Step 1: Find the prime factorization of 5073
5073 = 3 x 19 x 89
Step 2: Find the prime factorization of 5079
5079 = 3 x 1693
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8588589 = 3 x 19 x 89 x 1693
Step 4: Therefore, the least common multiple of 5073 and 5079 is 8588589.