Least Common Multiple of 659 and 666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 659 and 666 the smallest integer that is 438894 that is divisible by both numbers.

Least Common Multiple (LCM) of 659 and 666 is 438894.

LCM(659,666) = 438894

LCM of 659 and 666

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

LCM of:
and

Least Common Multiple of 659 and 666

LCM of 659 and 666 is 438894

Least common multiple can be found by multiplying the highest exponent prime factors of 659 and 666. First we will calculate the prime factors of 659 and 666.

Prime Factorization of 659


659 659
1

Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:

659 = 6591

Prime Factorization of 666


2 666
3 333
3 111
37 37
1

Prime factors of 666 are 2, 3,37. Prime factorization of 666 in exponential form is:

666 = 21×32×371

Now multiplying the highest exponent prime factors to calculate the LCM of 659 and 666.

LCM(659,666) = 21×32×371×6591
LCM(659,666) = 438894

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1, 659

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Least Common Multiple of 659 and 666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 659 and 666, than apply into the LCM equation.

GCF(659,666) = 1
LCM(659,666) = ( 659 × 666) / 1
LCM(659,666) = 438894 / 1
LCM(659,666) = 438894

Properties of LCM 659 and 666

(i) The LCM of 666 and 659 is associative

LCM of 659 and 666 = LCM of 666 and 659

Related Least Common Multiples of 659

Related Least Common Multiples of 666

Frequently Asked Questions on LCM of 659 and 666

1. What is the LCM of 659 and 666?

Answer: LCM of 659 and 666 is 438894.

2. What are the Factors of 659?

Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.

3. What are the Factors of 666?

Answer: Factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666. There are 12 integers that are factors of 666. The greatest factor of 666 is 666.

4. How to Find the LCM of 659 and 666?

Answer:

Least Common Multiple of 659 and 666 = 438894

Step 1: Find the prime factorization of 659

659 = 659

Step 2: Find the prime factorization of 666

666 = 2 x 3 x 3 x 37

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

LCM = 438894 = 2 x 3 x 3 x 37 x 659

Step 4: Therefore, the least common multiple of 659 and 666 is 438894.