Least Common Multiple of 669 and 675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 669 and 675 the smallest integer that is 150525 that is divisible by both numbers.

Least Common Multiple (LCM) of 669 and 675 is 150525.

LCM(669,675) = 150525

LCM of 669 and 675

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

LCM of:
and

Least Common Multiple of 669 and 675

LCM of 669 and 675 is 150525

Least common multiple can be found by multiplying the highest exponent prime factors of 669 and 675. First we will calculate the prime factors of 669 and 675.

Prime Factorization of 669


3 669
223 223
1

Prime factors of 669 are 3,223. Prime factorization of 669 in exponential form is:

669 = 31×2231

Prime Factorization of 675


3 675
3 225
3 75
5 25
5 5
1

Prime factors of 675 are 3,5. Prime factorization of 675 in exponential form is:

675 = 33×52

Now multiplying the highest exponent prime factors to calculate the LCM of 669 and 675.

LCM(669,675) = 33×52×2231
LCM(669,675) = 150525

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Least Common Multiple of 669 and 675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 669 and 675, than apply into the LCM equation.

GCF(669,675) = 3
LCM(669,675) = ( 669 × 675) / 3
LCM(669,675) = 451575 / 3
LCM(669,675) = 150525

Properties of LCM 669 and 675

(i) The LCM of 675 and 669 is associative

LCM of 669 and 675 = LCM of 675 and 669

Related Least Common Multiples of 669

Related Least Common Multiples of 675

Frequently Asked Questions on LCM of 669 and 675

1. What is the LCM of 669 and 675?

Answer: LCM of 669 and 675 is 150525.

2. What are the Factors of 669?

Answer: Factors of 669 are 1, 3, 223, 669. There are 4 integers that are factors of 669. The greatest factor of 669 is 669.

3. What are the Factors of 675?

Answer: Factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. There are 12 integers that are factors of 675. The greatest factor of 675 is 675.

4. How to Find the LCM of 669 and 675?

Answer:

Least Common Multiple of 669 and 675 = 150525

Step 1: Find the prime factorization of 669

669 = 3 x 223

Step 2: Find the prime factorization of 675

675 = 3 x 3 x 3 x 5 x 5

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

LCM = 150525 = 3 x 3 x 3 x 5 x 5 x 223

Step 4: Therefore, the least common multiple of 669 and 675 is 150525.