Least Common Multiple of 611 and 614
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 611 and 614 the smallest integer that is 375154 that is divisible by both numbers.
Least Common Multiple (LCM) of 611 and 614 is 375154.
LCM(611,614) = 375154
LCM of 611 and 614
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 611 and 614 by Prime method
- Least Common Multiple of 611 and 614 with GCF Formula
LCM of 611 and 614 is 375154
Least common multiple can be found by multiplying the highest exponent prime factors of 611 and 614. First we will calculate the prime factors of 611 and 614.
Prime Factorization of 611
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:
611 = 131×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 611 and 614.
LCM(611,614) = 21×131×471×3071
LCM(611,614) = 375154
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Least Common Multiple of 611 and 614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 611 and 614, than apply into the LCM equation.
GCF(611,614) = 1
LCM(611,614) = ( 611 × 614) / 1
LCM(611,614) = 375154 / 1
LCM(611,614) = 375154
Properties of LCM 611 and 614
(i) The LCM of 614 and 611 is associative
LCM of 611 and 614 = LCM of 614 and 611
Related Least Common Multiples of 611
Related Least Common Multiples of 614
Frequently Asked Questions on LCM of 611 and 614
1. What is the LCM of 611 and 614?
Answer: LCM of 611 and 614 is 375154.
2. What are the Factors of 611?
Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.
3. 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.
4. How to Find the LCM of 611 and 614?
Answer:
Least Common Multiple of 611 and 614 = 375154
Step 1: Find the prime factorization of 611
611 = 13 x 47
Step 2: Find the prime factorization of 614
614 = 2 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 375154 = 2 x 13 x 47 x 307
Step 4: Therefore, the least common multiple of 611 and 614 is 375154.
