Least Common Multiple of 662 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 662 and 666 the smallest integer that is 220446 that is divisible by both numbers.

Least Common Multiple (LCM) of 662 and 666 is 220446.

LCM(662,666) = 220446

LCM of 662 and 666

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

LCM of:
and

Least Common Multiple of 662 and 666

LCM of 662 and 666 is 220446

Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 666. First we will calculate the prime factors of 662 and 666.

Prime Factorization of 662


2 662
331 331
1

Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:

662 = 21×3311

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 662 and 666.

LCM(662,666) = 21×32×371×3311
LCM(662,666) = 220446

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1, 2, 331, 662

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 662 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 662 and 666, than apply into the LCM equation.

GCF(662,666) = 2
LCM(662,666) = ( 662 × 666) / 2
LCM(662,666) = 440892 / 2
LCM(662,666) = 220446

Properties of LCM 662 and 666

(i) The LCM of 666 and 662 is associative

LCM of 662 and 666 = LCM of 666 and 662

Related Least Common Multiples of 662

Related Least Common Multiples of 666

Frequently Asked Questions on LCM of 662 and 666

1. What is the LCM of 662 and 666?

Answer: LCM of 662 and 666 is 220446.

2. What are the Factors of 662?

Answer: Factors of 662 are 1, 2, 331, 662. There are 4 integers that are factors of 662. The greatest factor of 662 is 662.

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 662 and 666?

Answer:

Least Common Multiple of 662 and 666 = 220446

Step 1: Find the prime factorization of 662

662 = 2 x 331

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 = 220446 = 2 x 3 x 3 x 37 x 331

Step 4: Therefore, the least common multiple of 662 and 666 is 220446.