Least Common Multiple of 666 and 670

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 670 the smallest integer that is 223110 that is divisible by both numbers.

Least Common Multiple (LCM) of 666 and 670 is 223110.

LCM(666,670) = 223110

LCM of 666 and 670

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

LCM of:
and

Least Common Multiple of 666 and 670

LCM of 666 and 670 is 223110

Least common multiple can be found by multiplying the highest exponent prime factors of 666 and 670. First we will calculate the prime factors of 666 and 670.

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 670


2 670
5 335
67 67
1

Prime factors of 670 are 2, 5,67. Prime factorization of 670 in exponential form is:

670 = 21×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 666 and 670.

LCM(666,670) = 21×32×51×371×671
LCM(666,670) = 223110

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 670

List of positive integer factors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Least Common Multiple of 666 and 670 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 670, than apply into the LCM equation.

GCF(666,670) = 2
LCM(666,670) = ( 666 × 670) / 2
LCM(666,670) = 446220 / 2
LCM(666,670) = 223110

Properties of LCM 666 and 670

(i) The LCM of 670 and 666 is associative

LCM of 666 and 670 = LCM of 670 and 666

Related Least Common Multiples of 666

Related Least Common Multiples of 670

Frequently Asked Questions on LCM of 666 and 670

1. What is the LCM of 666 and 670?

Answer: LCM of 666 and 670 is 223110.

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 670?

Answer: Factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670. There are 8 integers that are factors of 670. The greatest factor of 670 is 670.

4. How to Find the LCM of 666 and 670?

Answer:

Least Common Multiple of 666 and 670 = 223110

Step 1: Find the prime factorization of 666

666 = 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 670

670 = 2 x 5 x 67

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

LCM = 223110 = 2 x 3 x 3 x 5 x 37 x 67

Step 4: Therefore, the least common multiple of 666 and 670 is 223110.