Least Common Multiple of 3602 and 3608

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 3608 the smallest integer that is 6498008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3602 and 3608 is 6498008.

LCM(3602,3608) = 6498008

LCM of 3602 and 3608

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

LCM of:
and

Least Common Multiple of 3602 and 3608

LCM of 3602 and 3608 is 6498008

Least common multiple can be found by multiplying the highest exponent prime factors of 3602 and 3608. First we will calculate the prime factors of 3602 and 3608.

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 3608


2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 3608 are 2, 11,41. Prime factorization of 3608 in exponential form is:

3608 = 23×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3602 and 3608.

LCM(3602,3608) = 23×111×411×18011
LCM(3602,3608) = 6498008

Factors of 3602

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

1, 2, 1801, 3602

Factors of 3608

List of positive integer factors of 3608 that divides 3608 without a remainder.

1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608

Least Common Multiple of 3602 and 3608 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 3608, than apply into the LCM equation.

GCF(3602,3608) = 2
LCM(3602,3608) = ( 3602 × 3608) / 2
LCM(3602,3608) = 12996016 / 2
LCM(3602,3608) = 6498008

Properties of LCM 3602 and 3608

(i) The LCM of 3608 and 3602 is associative

LCM of 3602 and 3608 = LCM of 3608 and 3602

Related Least Common Multiples of 3602

Related Least Common Multiples of 3608

Frequently Asked Questions on LCM of 3602 and 3608

1. What is the LCM of 3602 and 3608?

Answer: LCM of 3602 and 3608 is 6498008.

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 3608?

Answer: Factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608. There are 16 integers that are factors of 3608. The greatest factor of 3608 is 3608.

4. How to Find the LCM of 3602 and 3608?

Answer:

Least Common Multiple of 3602 and 3608 = 6498008

Step 1: Find the prime factorization of 3602

3602 = 2 x 1801

Step 2: Find the prime factorization of 3608

3608 = 2 x 2 x 2 x 11 x 41

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

LCM = 6498008 = 2 x 2 x 2 x 11 x 41 x 1801

Step 4: Therefore, the least common multiple of 3602 and 3608 is 6498008.