Least Common Multiple of 664 and 669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 664 and 669 the smallest integer that is 444216 that is divisible by both numbers.

Least Common Multiple (LCM) of 664 and 669 is 444216.

LCM(664,669) = 444216

LCM of 664 and 669

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

LCM of:
and

Least Common Multiple of 664 and 669

LCM of 664 and 669 is 444216

Least common multiple can be found by multiplying the highest exponent prime factors of 664 and 669. First we will calculate the prime factors of 664 and 669.

Prime Factorization of 664


2 664
2 332
2 166
83 83
1

Prime factors of 664 are 2,83. Prime factorization of 664 in exponential form is:

664 = 23×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 664 and 669.

LCM(664,669) = 23×31×831×2231
LCM(664,669) = 444216

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Factors of 669

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

1, 3, 223, 669

Least Common Multiple of 664 and 669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 664 and 669, than apply into the LCM equation.

GCF(664,669) = 1
LCM(664,669) = ( 664 × 669) / 1
LCM(664,669) = 444216 / 1
LCM(664,669) = 444216

Properties of LCM 664 and 669

(i) The LCM of 669 and 664 is associative

LCM of 664 and 669 = LCM of 669 and 664

Related Least Common Multiples of 664

Related Least Common Multiples of 669

Frequently Asked Questions on LCM of 664 and 669

1. What is the LCM of 664 and 669?

Answer: LCM of 664 and 669 is 444216.

2. What are the Factors of 664?

Answer: Factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664. There are 8 integers that are factors of 664. The greatest factor of 664 is 664.

3. 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.

4. How to Find the LCM of 664 and 669?

Answer:

Least Common Multiple of 664 and 669 = 444216

Step 1: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 669

669 = 3 x 223

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

LCM = 444216 = 2 x 2 x 2 x 3 x 83 x 223

Step 4: Therefore, the least common multiple of 664 and 669 is 444216.