Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3614 and 3617 the smallest integer that is 13071838 that is divisible by both numbers.
Least Common Multiple (LCM) of 3614 and 3617 is 13071838.
LCM(3614,3617) = 13071838
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 3614 and 3617. First we will calculate the prime factors of 3614 and 3617.
Prime Factorization of 3614
2 | 3614 |
13 | 1807 |
139 | 139 |
1 |
Prime factors of 3614 are 2, 13,139. Prime factorization of 3614 in exponential form is:
3614 = 21×131×1391
Prime Factorization of 3617
3617 | 3617 |
1 |
Prime factors of 3617 are 3617. Prime factorization of 3617 in exponential form is:
3617 = 36171
Now multiplying the highest exponent prime factors to calculate the LCM of 3614 and 3617.
LCM(3614,3617) = 21×131×1391×36171
LCM(3614,3617) = 13071838
Factors of 3614
List of positive integer factors of 3614 that divides 3614 without a remainder.
1, 2, 13, 26, 139, 278, 1807, 3614
Factors of 3617
List of positive integer factors of 3617 that divides 3617 without a remainder.
1, 3617
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3614 and 3617, than apply into the LCM equation.
GCF(3614,3617) = 1
LCM(3614,3617) = ( 3614 × 3617) / 1
LCM(3614,3617) = 13071838 / 1
LCM(3614,3617) = 13071838
(i) The LCM of 3617 and 3614 is associative
LCM of 3614 and 3617 = LCM of 3617 and 3614
1. What is the LCM of 3614 and 3617?
Answer: LCM of 3614 and 3617 is 13071838.
2. What are the Factors of 3614?
Answer: Factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614. There are 8 integers that are factors of 3614. The greatest factor of 3614 is 3614.
3. What are the Factors of 3617?
Answer: Factors of 3617 are 1, 3617. There are 2 integers that are factors of 3617. The greatest factor of 3617 is 3617.
4. How to Find the LCM of 3614 and 3617?
Answer:
Least Common Multiple of 3614 and 3617 = 13071838
Step 1: Find the prime factorization of 3614
3614 = 2 x 13 x 139
Step 2: Find the prime factorization of 3617
3617 = 3617
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13071838 = 2 x 13 x 139 x 3617
Step 4: Therefore, the least common multiple of 3614 and 3617 is 13071838.