Least Common Multiple of 3602 and 3603

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 3603 the smallest integer that is 12978006 that is divisible by both numbers.

Least Common Multiple (LCM) of 3602 and 3603 is 12978006.

LCM(3602,3603) = 12978006

LCM of 3602 and 3603

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

LCM of:
and

Least Common Multiple of 3602 and 3603

LCM of 3602 and 3603 is 12978006

Least common multiple can be found by multiplying the highest exponent prime factors of 3602 and 3603. First we will calculate the prime factors of 3602 and 3603.

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 3603


3 3603
1201 1201
1

Prime factors of 3603 are 3,1201. Prime factorization of 3603 in exponential form is:

3603 = 31×12011

Now multiplying the highest exponent prime factors to calculate the LCM of 3602 and 3603.

LCM(3602,3603) = 21×31×12011×18011
LCM(3602,3603) = 12978006

Factors of 3602

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

1, 2, 1801, 3602

Factors of 3603

List of positive integer factors of 3603 that divides 3603 without a remainder.

1, 3, 1201, 3603

Least Common Multiple of 3602 and 3603 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 3603, than apply into the LCM equation.

GCF(3602,3603) = 1
LCM(3602,3603) = ( 3602 × 3603) / 1
LCM(3602,3603) = 12978006 / 1
LCM(3602,3603) = 12978006

Properties of LCM 3602 and 3603

(i) The LCM of 3603 and 3602 is associative

LCM of 3602 and 3603 = LCM of 3603 and 3602

Related Least Common Multiples of 3602

Related Least Common Multiples of 3603

Frequently Asked Questions on LCM of 3602 and 3603

1. What is the LCM of 3602 and 3603?

Answer: LCM of 3602 and 3603 is 12978006.

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 3603?

Answer: Factors of 3603 are 1, 3, 1201, 3603. There are 4 integers that are factors of 3603. The greatest factor of 3603 is 3603.

4. How to Find the LCM of 3602 and 3603?

Answer:

Least Common Multiple of 3602 and 3603 = 12978006

Step 1: Find the prime factorization of 3602

3602 = 2 x 1801

Step 2: Find the prime factorization of 3603

3603 = 3 x 1201

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

LCM = 12978006 = 2 x 3 x 1201 x 1801

Step 4: Therefore, the least common multiple of 3602 and 3603 is 12978006.