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 3618 the smallest integer that is 6530490 that is divisible by both numbers.
Least Common Multiple (LCM) of 3610 and 3618 is 6530490.
LCM(3610,3618) = 6530490
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 3618. First we will calculate the prime factors of 3610 and 3618.
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 3618
2 | 3618 |
3 | 1809 |
3 | 603 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 3618 are 2, 3,67. Prime factorization of 3618 in exponential form is:
3618 = 21×33×671
Now multiplying the highest exponent prime factors to calculate the LCM of 3610 and 3618.
LCM(3610,3618) = 21×33×51×192×671
LCM(3610,3618) = 6530490
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 3618
List of positive integer factors of 3618 that divides 3618 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3610 and 3618, than apply into the LCM equation.
GCF(3610,3618) = 2
LCM(3610,3618) = ( 3610 × 3618) / 2
LCM(3610,3618) = 13060980 / 2
LCM(3610,3618) = 6530490
(i) The LCM of 3618 and 3610 is associative
LCM of 3610 and 3618 = LCM of 3618 and 3610
1. What is the LCM of 3610 and 3618?
Answer: LCM of 3610 and 3618 is 6530490.
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 3618?
Answer: Factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618. There are 16 integers that are factors of 3618. The greatest factor of 3618 is 3618.
4. How to Find the LCM of 3610 and 3618?
Answer:
Least Common Multiple of 3610 and 3618 = 6530490
Step 1: Find the prime factorization of 3610
3610 = 2 x 5 x 19 x 19
Step 2: Find the prime factorization of 3618
3618 = 2 x 3 x 3 x 3 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6530490 = 2 x 3 x 3 x 3 x 5 x 19 x 19 x 67
Step 4: Therefore, the least common multiple of 3610 and 3618 is 6530490.