Least Common Multiple of 614 and 615
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 614 and 615 the smallest integer that is 377610 that is divisible by both numbers.
Least Common Multiple (LCM) of 614 and 615 is 377610.
LCM(614,615) = 377610
LCM of 614 and 615
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 614 and 615 by Prime method
- Least Common Multiple of 614 and 615 with GCF Formula
LCM of 614 and 615 is 377610
Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 615. First we will calculate the prime factors of 614 and 615.
Prime Factorization of 614
| 2 | 614 |
| 307 | 307 |
| 1 |
Prime factors of 614 are 2,307. Prime factorization of 614 in exponential form is:
614 = 21×3071
Prime Factorization of 615
| 3 | 615 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 615 are 3, 5,41. Prime factorization of 615 in exponential form is:
615 = 31×51×411
Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 615.
LCM(614,615) = 21×31×51×411×3071
LCM(614,615) = 377610
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Least Common Multiple of 614 and 615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 614 and 615, than apply into the LCM equation.
GCF(614,615) = 1
LCM(614,615) = ( 614 × 615) / 1
LCM(614,615) = 377610 / 1
LCM(614,615) = 377610
Properties of LCM 614 and 615
(i) The LCM of 615 and 614 is associative
LCM of 614 and 615 = LCM of 615 and 614
Related Least Common Multiples of 614
Related Least Common Multiples of 615
Frequently Asked Questions on LCM of 614 and 615
1. What is the LCM of 614 and 615?
Answer: LCM of 614 and 615 is 377610.
2. What are the Factors of 614?
Answer: Factors of 614 are 1, 2, 307, 614. There are 4 integers that are factors of 614. The greatest factor of 614 is 614.
3. What are the Factors of 615?
Answer: Factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615. There are 8 integers that are factors of 615. The greatest factor of 615 is 615.
4. How to Find the LCM of 614 and 615?
Answer:
Least Common Multiple of 614 and 615 = 377610
Step 1: Find the prime factorization of 614
614 = 2 x 307
Step 2: Find the prime factorization of 615
615 = 3 x 5 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 377610 = 2 x 3 x 5 x 41 x 307
Step 4: Therefore, the least common multiple of 614 and 615 is 377610.