Least Common Multiple of 3606 and 3610

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 3610 the smallest integer that is 6508830 that is divisible by both numbers.

Least Common Multiple (LCM) of 3606 and 3610 is 6508830.

LCM(3606,3610) = 6508830

LCM of 3606 and 3610

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3606 and 3610

LCM of 3606 and 3610 is 6508830

Least common multiple can be found by multiplying the highest exponent prime factors of 3606 and 3610. First we will calculate the prime factors of 3606 and 3610.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3606 and 3610.

LCM(3606,3610) = 21×31×51×192×6011
LCM(3606,3610) = 6508830

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 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

Least Common Multiple of 3606 and 3610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3606 and 3610, than apply into the LCM equation.

GCF(3606,3610) = 2
LCM(3606,3610) = ( 3606 × 3610) / 2
LCM(3606,3610) = 13017660 / 2
LCM(3606,3610) = 6508830

Properties of LCM 3606 and 3610

(i) The LCM of 3610 and 3606 is associative

LCM of 3606 and 3610 = LCM of 3610 and 3606

Related Least Common Multiples of 3606

Related Least Common Multiples of 3610

Frequently Asked Questions on LCM of 3606 and 3610

1. What is the LCM of 3606 and 3610?

Answer: LCM of 3606 and 3610 is 6508830.

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 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.

4. How to Find the LCM of 3606 and 3610?

Answer:

Least Common Multiple of 3606 and 3610 = 6508830

Step 1: Find the prime factorization of 3606

3606 = 2 x 3 x 601

Step 2: Find the prime factorization of 3610

3610 = 2 x 5 x 19 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6508830 = 2 x 3 x 5 x 19 x 19 x 601

Step 4: Therefore, the least common multiple of 3606 and 3610 is 6508830.