Least Common Multiple of 666 and 671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 666 and 671 the smallest integer that is 446886 that is divisible by both numbers.

Least Common Multiple (LCM) of 666 and 671 is 446886.

LCM(666,671) = 446886

LCM of 666 and 671

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

LCM of:
and

Least Common Multiple of 666 and 671

LCM of 666 and 671 is 446886

Least common multiple can be found by multiplying the highest exponent prime factors of 666 and 671. First we will calculate the prime factors of 666 and 671.

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

Prime Factorization of 671


11 671
61 61
1

Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:

671 = 111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 666 and 671.

LCM(666,671) = 21×32×111×371×611
LCM(666,671) = 446886

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

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Least Common Multiple of 666 and 671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 666 and 671, than apply into the LCM equation.

GCF(666,671) = 1
LCM(666,671) = ( 666 × 671) / 1
LCM(666,671) = 446886 / 1
LCM(666,671) = 446886

Properties of LCM 666 and 671

(i) The LCM of 671 and 666 is associative

LCM of 666 and 671 = LCM of 671 and 666

Related Least Common Multiples of 666

Related Least Common Multiples of 671

Frequently Asked Questions on LCM of 666 and 671

1. What is the LCM of 666 and 671?

Answer: LCM of 666 and 671 is 446886.

2. 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.

3. What are the Factors of 671?

Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.

4. How to Find the LCM of 666 and 671?

Answer:

Least Common Multiple of 666 and 671 = 446886

Step 1: Find the prime factorization of 666

666 = 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 671

671 = 11 x 61

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

LCM = 446886 = 2 x 3 x 3 x 11 x 37 x 61

Step 4: Therefore, the least common multiple of 666 and 671 is 446886.