Least Common Multiple of 666 and 674

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 674 the smallest integer that is 224442 that is divisible by both numbers.

Least Common Multiple (LCM) of 666 and 674 is 224442.

LCM(666,674) = 224442

LCM of 666 and 674

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

LCM of:
and

Least Common Multiple of 666 and 674

LCM of 666 and 674 is 224442

Least common multiple can be found by multiplying the highest exponent prime factors of 666 and 674. First we will calculate the prime factors of 666 and 674.

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 674


2 674
337 337
1

Prime factors of 674 are 2,337. Prime factorization of 674 in exponential form is:

674 = 21×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 666 and 674.

LCM(666,674) = 21×32×371×3371
LCM(666,674) = 224442

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 674

List of positive integer factors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Least Common Multiple of 666 and 674 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 674, than apply into the LCM equation.

GCF(666,674) = 2
LCM(666,674) = ( 666 × 674) / 2
LCM(666,674) = 448884 / 2
LCM(666,674) = 224442

Properties of LCM 666 and 674

(i) The LCM of 674 and 666 is associative

LCM of 666 and 674 = LCM of 674 and 666

Related Least Common Multiples of 666

Related Least Common Multiples of 674

Frequently Asked Questions on LCM of 666 and 674

1. What is the LCM of 666 and 674?

Answer: LCM of 666 and 674 is 224442.

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 674?

Answer: Factors of 674 are 1, 2, 337, 674. There are 4 integers that are factors of 674. The greatest factor of 674 is 674.

4. How to Find the LCM of 666 and 674?

Answer:

Least Common Multiple of 666 and 674 = 224442

Step 1: Find the prime factorization of 666

666 = 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 674

674 = 2 x 337

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

LCM = 224442 = 2 x 3 x 3 x 37 x 337

Step 4: Therefore, the least common multiple of 666 and 674 is 224442.