Least Common Multiple of 661 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 661 and 666 the smallest integer that is 440226 that is divisible by both numbers.

Least Common Multiple (LCM) of 661 and 666 is 440226.

LCM(661,666) = 440226

LCM of 661 and 666

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

LCM of:
and

Least Common Multiple of 661 and 666

LCM of 661 and 666 is 440226

Least common multiple can be found by multiplying the highest exponent prime factors of 661 and 666. First we will calculate the prime factors of 661 and 666.

Prime Factorization of 661


661 661
1

Prime factors of 661 are 661. Prime factorization of 661 in exponential form is:

661 = 6611

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 661 and 666.

LCM(661,666) = 21×32×371×6611
LCM(661,666) = 440226

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1, 661

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 661 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 661 and 666, than apply into the LCM equation.

GCF(661,666) = 1
LCM(661,666) = ( 661 × 666) / 1
LCM(661,666) = 440226 / 1
LCM(661,666) = 440226

Properties of LCM 661 and 666

(i) The LCM of 666 and 661 is associative

LCM of 661 and 666 = LCM of 666 and 661

Related Least Common Multiples of 661

Related Least Common Multiples of 666

Frequently Asked Questions on LCM of 661 and 666

1. What is the LCM of 661 and 666?

Answer: LCM of 661 and 666 is 440226.

2. What are the Factors of 661?

Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.

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 661 and 666?

Answer:

Least Common Multiple of 661 and 666 = 440226

Step 1: Find the prime factorization of 661

661 = 661

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 = 440226 = 2 x 3 x 3 x 37 x 661

Step 4: Therefore, the least common multiple of 661 and 666 is 440226.