Least Common Multiple of 3602 and 3607

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 3607 the smallest integer that is 12992414 that is divisible by both numbers.

Least Common Multiple (LCM) of 3602 and 3607 is 12992414.

LCM(3602,3607) = 12992414

LCM of 3602 and 3607

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

LCM of:
and

Least Common Multiple of 3602 and 3607

LCM of 3602 and 3607 is 12992414

Least common multiple can be found by multiplying the highest exponent prime factors of 3602 and 3607. First we will calculate the prime factors of 3602 and 3607.

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 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 3602 and 3607.

LCM(3602,3607) = 21×18011×36071
LCM(3602,3607) = 12992414

Factors of 3602

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

1, 2, 1801, 3602

Factors of 3607

List of positive integer factors of 3607 that divides 3607 without a remainder.

1, 3607

Least Common Multiple of 3602 and 3607 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 3607, than apply into the LCM equation.

GCF(3602,3607) = 1
LCM(3602,3607) = ( 3602 × 3607) / 1
LCM(3602,3607) = 12992414 / 1
LCM(3602,3607) = 12992414

Properties of LCM 3602 and 3607

(i) The LCM of 3607 and 3602 is associative

LCM of 3602 and 3607 = LCM of 3607 and 3602

Related Least Common Multiples of 3602

Related Least Common Multiples of 3607

Frequently Asked Questions on LCM of 3602 and 3607

1. What is the LCM of 3602 and 3607?

Answer: LCM of 3602 and 3607 is 12992414.

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 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 3602 and 3607?

Answer:

Least Common Multiple of 3602 and 3607 = 12992414

Step 1: Find the prime factorization of 3602

3602 = 2 x 1801

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 = 12992414 = 2 x 1801 x 3607

Step 4: Therefore, the least common multiple of 3602 and 3607 is 12992414.