Least Common Multiple of 3602 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 3602 and 3610 the smallest integer that is 6501610 that is divisible by both numbers.

Least Common Multiple (LCM) of 3602 and 3610 is 6501610.

LCM(3602,3610) = 6501610

LCM of 3602 and 3610

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

LCM of:
and

Least Common Multiple of 3602 and 3610

LCM of 3602 and 3610 is 6501610

Least common multiple can be found by multiplying the highest exponent prime factors of 3602 and 3610. First we will calculate the prime factors of 3602 and 3610.

Prime Factorization of 3602


2 3602
1801 1801
1

Prime factors of 3602 are 2,1801. Prime factorization of 3602 in exponential form is:

3602 = 21×18011

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 3602 and 3610.

LCM(3602,3610) = 21×51×192×18011
LCM(3602,3610) = 6501610

Factors of 3602

List of positive integer factors of 3602 that divides 3602 without a remainder.

1, 2, 1801, 3602

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 3602 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 3602 and 3610, than apply into the LCM equation.

GCF(3602,3610) = 2
LCM(3602,3610) = ( 3602 × 3610) / 2
LCM(3602,3610) = 13003220 / 2
LCM(3602,3610) = 6501610

Properties of LCM 3602 and 3610

(i) The LCM of 3610 and 3602 is associative

LCM of 3602 and 3610 = LCM of 3610 and 3602

Related Least Common Multiples of 3602

Related Least Common Multiples of 3610

Frequently Asked Questions on LCM of 3602 and 3610

1. What is the LCM of 3602 and 3610?

Answer: LCM of 3602 and 3610 is 6501610.

2. What are the Factors of 3602?

Answer: Factors of 3602 are 1, 2, 1801, 3602. There are 4 integers that are factors of 3602. The greatest factor of 3602 is 3602.

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 3602 and 3610?

Answer:

Least Common Multiple of 3602 and 3610 = 6501610

Step 1: Find the prime factorization of 3602

3602 = 2 x 1801

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 = 6501610 = 2 x 5 x 19 x 19 x 1801

Step 4: Therefore, the least common multiple of 3602 and 3610 is 6501610.