Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3610 and 3614 the smallest integer that is 6523270 that is divisible by both numbers.
Least Common Multiple (LCM) of 3610 and 3614 is 6523270.
LCM(3610,3614) = 6523270
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 3610 and 3614. First we will calculate the prime factors of 3610 and 3614.
Prime Factorization of 3610
2 | 3610 |
5 | 1805 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 3610 are 2, 5,19. Prime factorization of 3610 in exponential form is:
3610 = 21×51×192
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3610 and 3614.
LCM(3610,3614) = 21×51×131×192×1391
LCM(3610,3614) = 6523270
Factors of 3610
List of positive integer factors of 3610 that divides 3610 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610
Factors of 3614
List of positive integer factors of 3614 that divides 3614 without a remainder.
1, 2, 13, 26, 139, 278, 1807, 3614
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3610 and 3614, than apply into the LCM equation.
GCF(3610,3614) = 2
LCM(3610,3614) = ( 3610 × 3614) / 2
LCM(3610,3614) = 13046540 / 2
LCM(3610,3614) = 6523270
(i) The LCM of 3614 and 3610 is associative
LCM of 3610 and 3614 = LCM of 3614 and 3610
1. What is the LCM of 3610 and 3614?
Answer: LCM of 3610 and 3614 is 6523270.
2. What are the Factors of 3610?
Answer: Factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610. There are 12 integers that are factors of 3610. The greatest factor of 3610 is 3610.
3. 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.
4. How to Find the LCM of 3610 and 3614?
Answer:
Least Common Multiple of 3610 and 3614 = 6523270
Step 1: Find the prime factorization of 3610
3610 = 2 x 5 x 19 x 19
Step 2: Find the prime factorization of 3614
3614 = 2 x 13 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6523270 = 2 x 5 x 13 x 19 x 19 x 139
Step 4: Therefore, the least common multiple of 3610 and 3614 is 6523270.