Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5077 and 5085 the smallest integer that is 25816545 that is divisible by both numbers.
Least Common Multiple (LCM) of 5077 and 5085 is 25816545.
LCM(5077,5085) = 25816545
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 5077 and 5085. First we will calculate the prime factors of 5077 and 5085.
Prime Factorization of 5077
5077 | 5077 |
1 |
Prime factors of 5077 are 5077. Prime factorization of 5077 in exponential form is:
5077 = 50771
Prime Factorization of 5085
3 | 5085 |
3 | 1695 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 5085 are 3, 5,113. Prime factorization of 5085 in exponential form is:
5085 = 32×51×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 5077 and 5085.
LCM(5077,5085) = 32×51×1131×50771
LCM(5077,5085) = 25816545
Factors of 5077
List of positive integer factors of 5077 that divides 5077 without a remainder.
1, 5077
Factors of 5085
List of positive integer factors of 5085 that divides 5085 without a remainder.
1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5077 and 5085, than apply into the LCM equation.
GCF(5077,5085) = 1
LCM(5077,5085) = ( 5077 × 5085) / 1
LCM(5077,5085) = 25816545 / 1
LCM(5077,5085) = 25816545
(i) The LCM of 5085 and 5077 is associative
LCM of 5077 and 5085 = LCM of 5085 and 5077
1. What is the LCM of 5077 and 5085?
Answer: LCM of 5077 and 5085 is 25816545.
2. 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.
3. What are the Factors of 5085?
Answer: Factors of 5085 are 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085. There are 12 integers that are factors of 5085. The greatest factor of 5085 is 5085.
4. How to Find the LCM of 5077 and 5085?
Answer:
Least Common Multiple of 5077 and 5085 = 25816545
Step 1: Find the prime factorization of 5077
5077 = 5077
Step 2: Find the prime factorization of 5085
5085 = 3 x 3 x 5 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25816545 = 3 x 3 x 5 x 113 x 5077
Step 4: Therefore, the least common multiple of 5077 and 5085 is 25816545.