Least Common Multiple of 3602 and 3606

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 3606 the smallest integer that is 6494406 that is divisible by both numbers.

Least Common Multiple (LCM) of 3602 and 3606 is 6494406.

LCM(3602,3606) = 6494406

LCM of 3602 and 3606

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

LCM of:
and

Least Common Multiple of 3602 and 3606

LCM of 3602 and 3606 is 6494406

Least common multiple can be found by multiplying the highest exponent prime factors of 3602 and 3606. First we will calculate the prime factors of 3602 and 3606.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3602 and 3606.

LCM(3602,3606) = 21×31×6011×18011
LCM(3602,3606) = 6494406

Factors of 3602

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

1, 2, 1801, 3602

Factors of 3606

List of positive integer factors of 3606 that divides 3606 without a remainder.

1, 2, 3, 6, 601, 1202, 1803, 3606

Least Common Multiple of 3602 and 3606 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 3606, than apply into the LCM equation.

GCF(3602,3606) = 2
LCM(3602,3606) = ( 3602 × 3606) / 2
LCM(3602,3606) = 12988812 / 2
LCM(3602,3606) = 6494406

Properties of LCM 3602 and 3606

(i) The LCM of 3606 and 3602 is associative

LCM of 3602 and 3606 = LCM of 3606 and 3602

Related Least Common Multiples of 3602

Related Least Common Multiples of 3606

Frequently Asked Questions on LCM of 3602 and 3606

1. What is the LCM of 3602 and 3606?

Answer: LCM of 3602 and 3606 is 6494406.

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 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.

4. How to Find the LCM of 3602 and 3606?

Answer:

Least Common Multiple of 3602 and 3606 = 6494406

Step 1: Find the prime factorization of 3602

3602 = 2 x 1801

Step 2: Find the prime factorization of 3606

3606 = 2 x 3 x 601

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

LCM = 6494406 = 2 x 3 x 601 x 1801

Step 4: Therefore, the least common multiple of 3602 and 3606 is 6494406.