Least Common Multiple of 658 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 658 and 666 the smallest integer that is 219114 that is divisible by both numbers.

Least Common Multiple (LCM) of 658 and 666 is 219114.

LCM(658,666) = 219114

LCM of 658 and 666

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

LCM of:
and

Least Common Multiple of 658 and 666

LCM of 658 and 666 is 219114

Least common multiple can be found by multiplying the highest exponent prime factors of 658 and 666. First we will calculate the prime factors of 658 and 666.

Prime Factorization of 658


2 658
7 329
47 47
1

Prime factors of 658 are 2, 7,47. Prime factorization of 658 in exponential form is:

658 = 21×71×471

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 658 and 666.

LCM(658,666) = 21×32×71×371×471
LCM(658,666) = 219114

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 658 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 658 and 666, than apply into the LCM equation.

GCF(658,666) = 2
LCM(658,666) = ( 658 × 666) / 2
LCM(658,666) = 438228 / 2
LCM(658,666) = 219114

Properties of LCM 658 and 666

(i) The LCM of 666 and 658 is associative

LCM of 658 and 666 = LCM of 666 and 658

Related Least Common Multiples of 658

Related Least Common Multiples of 666

Frequently Asked Questions on LCM of 658 and 666

1. What is the LCM of 658 and 666?

Answer: LCM of 658 and 666 is 219114.

2. What are the Factors of 658?

Answer: Factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658. There are 8 integers that are factors of 658. The greatest factor of 658 is 658.

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 658 and 666?

Answer:

Least Common Multiple of 658 and 666 = 219114

Step 1: Find the prime factorization of 658

658 = 2 x 7 x 47

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 = 219114 = 2 x 3 x 3 x 7 x 37 x 47

Step 4: Therefore, the least common multiple of 658 and 666 is 219114.