Least Common Multiple of 3669 and 3675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3669 and 3675 the smallest integer that is 4494525 that is divisible by both numbers.

Least Common Multiple (LCM) of 3669 and 3675 is 4494525.

LCM(3669,3675) = 4494525

LCM of 3669 and 3675

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

LCM of:
and

Least Common Multiple of 3669 and 3675

LCM of 3669 and 3675 is 4494525

Least common multiple can be found by multiplying the highest exponent prime factors of 3669 and 3675. First we will calculate the prime factors of 3669 and 3675.

Prime Factorization of 3669


3 3669
1223 1223
1

Prime factors of 3669 are 3,1223. Prime factorization of 3669 in exponential form is:

3669 = 31×12231

Prime Factorization of 3675


3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 3675 are 3, 5,7. Prime factorization of 3675 in exponential form is:

3675 = 31×52×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3669 and 3675.

LCM(3669,3675) = 31×52×72×12231
LCM(3669,3675) = 4494525

Factors of 3669

List of positive integer factors of 3669 that divides 3669 without a remainder.

1, 3, 1223, 3669

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675

Least Common Multiple of 3669 and 3675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3669 and 3675, than apply into the LCM equation.

GCF(3669,3675) = 3
LCM(3669,3675) = ( 3669 × 3675) / 3
LCM(3669,3675) = 13483575 / 3
LCM(3669,3675) = 4494525

Properties of LCM 3669 and 3675

(i) The LCM of 3675 and 3669 is associative

LCM of 3669 and 3675 = LCM of 3675 and 3669

Related Least Common Multiples of 3669

Related Least Common Multiples of 3675

Frequently Asked Questions on LCM of 3669 and 3675

1. What is the LCM of 3669 and 3675?

Answer: LCM of 3669 and 3675 is 4494525.

2. What are the Factors of 3669?

Answer: Factors of 3669 are 1, 3, 1223, 3669. There are 4 integers that are factors of 3669. The greatest factor of 3669 is 3669.

3. What are the Factors of 3675?

Answer: Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675. There are 18 integers that are factors of 3675. The greatest factor of 3675 is 3675.

4. How to Find the LCM of 3669 and 3675?

Answer:

Least Common Multiple of 3669 and 3675 = 4494525

Step 1: Find the prime factorization of 3669

3669 = 3 x 1223

Step 2: Find the prime factorization of 3675

3675 = 3 x 5 x 5 x 7 x 7

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

LCM = 4494525 = 3 x 5 x 5 x 7 x 7 x 1223

Step 4: Therefore, the least common multiple of 3669 and 3675 is 4494525.