Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3606 and 3607 the smallest integer that is 13006842 that is divisible by both numbers.
Least Common Multiple (LCM) of 3606 and 3607 is 13006842.
LCM(3606,3607) = 13006842
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 3606 and 3607. First we will calculate the prime factors of 3606 and 3607.
Prime Factorization of 3606
2 | 3606 |
3 | 1803 |
601 | 601 |
1 |
Prime factors of 3606 are 2, 3,601. Prime factorization of 3606 in exponential form is:
3606 = 21×31×6011
Prime Factorization of 3607
3607 | 3607 |
1 |
Prime factors of 3607 are 3607. Prime factorization of 3607 in exponential form is:
3607 = 36071
Now multiplying the highest exponent prime factors to calculate the LCM of 3606 and 3607.
LCM(3606,3607) = 21×31×6011×36071
LCM(3606,3607) = 13006842
Factors of 3606
List of positive integer factors of 3606 that divides 3606 without a remainder.
1, 2, 3, 6, 601, 1202, 1803, 3606
Factors of 3607
List of positive integer factors of 3607 that divides 3607 without a remainder.
1, 3607
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3606 and 3607, than apply into the LCM equation.
GCF(3606,3607) = 1
LCM(3606,3607) = ( 3606 × 3607) / 1
LCM(3606,3607) = 13006842 / 1
LCM(3606,3607) = 13006842
(i) The LCM of 3607 and 3606 is associative
LCM of 3606 and 3607 = LCM of 3607 and 3606
1. What is the LCM of 3606 and 3607?
Answer: LCM of 3606 and 3607 is 13006842.
2. What are the Factors of 3606?
Answer: Factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606. There are 8 integers that are factors of 3606. The greatest factor of 3606 is 3606.
3. What are the Factors of 3607?
Answer: Factors of 3607 are 1, 3607. There are 2 integers that are factors of 3607. The greatest factor of 3607 is 3607.
4. How to Find the LCM of 3606 and 3607?
Answer:
Least Common Multiple of 3606 and 3607 = 13006842
Step 1: Find the prime factorization of 3606
3606 = 2 x 3 x 601
Step 2: Find the prime factorization of 3607
3607 = 3607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13006842 = 2 x 3 x 601 x 3607
Step 4: Therefore, the least common multiple of 3606 and 3607 is 13006842.