Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5615 and 5618 the smallest integer that is 31545070 that is divisible by both numbers.
Least Common Multiple (LCM) of 5615 and 5618 is 31545070.
LCM(5615,5618) = 31545070
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 5615 and 5618. First we will calculate the prime factors of 5615 and 5618.
Prime Factorization of 5615
5 | 5615 |
1123 | 1123 |
1 |
Prime factors of 5615 are 5,1123. Prime factorization of 5615 in exponential form is:
5615 = 51×11231
Prime Factorization of 5618
2 | 5618 |
53 | 2809 |
53 | 53 |
1 |
Prime factors of 5618 are 2,53. Prime factorization of 5618 in exponential form is:
5618 = 21×532
Now multiplying the highest exponent prime factors to calculate the LCM of 5615 and 5618.
LCM(5615,5618) = 21×51×532×11231
LCM(5615,5618) = 31545070
Factors of 5615
List of positive integer factors of 5615 that divides 5615 without a remainder.
1, 5, 1123, 5615
Factors of 5618
List of positive integer factors of 5618 that divides 5618 without a remainder.
1, 2, 53, 106, 2809, 5618
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5615 and 5618, than apply into the LCM equation.
GCF(5615,5618) = 1
LCM(5615,5618) = ( 5615 × 5618) / 1
LCM(5615,5618) = 31545070 / 1
LCM(5615,5618) = 31545070
(i) The LCM of 5618 and 5615 is associative
LCM of 5615 and 5618 = LCM of 5618 and 5615
1. What is the LCM of 5615 and 5618?
Answer: LCM of 5615 and 5618 is 31545070.
2. What are the Factors of 5615?
Answer: Factors of 5615 are 1, 5, 1123, 5615. There are 4 integers that are factors of 5615. The greatest factor of 5615 is 5615.
3. What are the Factors of 5618?
Answer: Factors of 5618 are 1, 2, 53, 106, 2809, 5618. There are 6 integers that are factors of 5618. The greatest factor of 5618 is 5618.
4. How to Find the LCM of 5615 and 5618?
Answer:
Least Common Multiple of 5615 and 5618 = 31545070
Step 1: Find the prime factorization of 5615
5615 = 5 x 1123
Step 2: Find the prime factorization of 5618
5618 = 2 x 53 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31545070 = 2 x 5 x 53 x 53 x 1123
Step 4: Therefore, the least common multiple of 5615 and 5618 is 31545070.