Least Common Multiple of 662 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 662 and 669 the smallest integer that is 442878 that is divisible by both numbers.

Least Common Multiple (LCM) of 662 and 669 is 442878.

LCM(662,669) = 442878

LCM of 662 and 669

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

LCM of:
and

Least Common Multiple of 662 and 669

LCM of 662 and 669 is 442878

Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 669. First we will calculate the prime factors of 662 and 669.

Prime Factorization of 662


2 662
331 331
1

Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:

662 = 21×3311

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 662 and 669.

LCM(662,669) = 21×31×2231×3311
LCM(662,669) = 442878

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Factors of 669

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

1, 3, 223, 669

Least Common Multiple of 662 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 662 and 669, than apply into the LCM equation.

GCF(662,669) = 1
LCM(662,669) = ( 662 × 669) / 1
LCM(662,669) = 442878 / 1
LCM(662,669) = 442878

Properties of LCM 662 and 669

(i) The LCM of 669 and 662 is associative

LCM of 662 and 669 = LCM of 669 and 662

Related Least Common Multiples of 662

Related Least Common Multiples of 669

Frequently Asked Questions on LCM of 662 and 669

1. What is the LCM of 662 and 669?

Answer: LCM of 662 and 669 is 442878.

2. What are the Factors of 662?

Answer: Factors of 662 are 1, 2, 331, 662. There are 4 integers that are factors of 662. The greatest factor of 662 is 662.

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 662 and 669?

Answer:

Least Common Multiple of 662 and 669 = 442878

Step 1: Find the prime factorization of 662

662 = 2 x 331

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 = 442878 = 2 x 3 x 223 x 331

Step 4: Therefore, the least common multiple of 662 and 669 is 442878.