Least Common Multiple of 3596 and 3602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3596 and 3602 the smallest integer that is 6476396 that is divisible by both numbers.

Least Common Multiple (LCM) of 3596 and 3602 is 6476396.

LCM(3596,3602) = 6476396

LCM of 3596 and 3602

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

LCM of:
and

Least Common Multiple of 3596 and 3602

LCM of 3596 and 3602 is 6476396

Least common multiple can be found by multiplying the highest exponent prime factors of 3596 and 3602. First we will calculate the prime factors of 3596 and 3602.

Prime Factorization of 3596


2 3596
2 1798
29 899
31 31
1

Prime factors of 3596 are 2, 29,31. Prime factorization of 3596 in exponential form is:

3596 = 22×291×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3596 and 3602.

LCM(3596,3602) = 22×291×311×18011
LCM(3596,3602) = 6476396

Factors of 3596

List of positive integer factors of 3596 that divides 3596 without a remainder.

1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596

Factors of 3602

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

1, 2, 1801, 3602

Least Common Multiple of 3596 and 3602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3596 and 3602, than apply into the LCM equation.

GCF(3596,3602) = 2
LCM(3596,3602) = ( 3596 × 3602) / 2
LCM(3596,3602) = 12952792 / 2
LCM(3596,3602) = 6476396

Properties of LCM 3596 and 3602

(i) The LCM of 3602 and 3596 is associative

LCM of 3596 and 3602 = LCM of 3602 and 3596

Related Least Common Multiples of 3596

Related Least Common Multiples of 3602

Frequently Asked Questions on LCM of 3596 and 3602

1. What is the LCM of 3596 and 3602?

Answer: LCM of 3596 and 3602 is 6476396.

2. What are the Factors of 3596?

Answer: Factors of 3596 are 1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596. There are 12 integers that are factors of 3596. The greatest factor of 3596 is 3596.

3. 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.

4. How to Find the LCM of 3596 and 3602?

Answer:

Least Common Multiple of 3596 and 3602 = 6476396

Step 1: Find the prime factorization of 3596

3596 = 2 x 2 x 29 x 31

Step 2: Find the prime factorization of 3602

3602 = 2 x 1801

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

LCM = 6476396 = 2 x 2 x 29 x 31 x 1801

Step 4: Therefore, the least common multiple of 3596 and 3602 is 6476396.