Least Common Multiple of 661 and 667

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 667 the smallest integer that is 440887 that is divisible by both numbers.

Least Common Multiple (LCM) of 661 and 667 is 440887.

LCM(661,667) = 440887

LCM of 661 and 667

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

LCM of:
and

Least Common Multiple of 661 and 667

LCM of 661 and 667 is 440887

Least common multiple can be found by multiplying the highest exponent prime factors of 661 and 667. First we will calculate the prime factors of 661 and 667.

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 667


23 667
29 29
1

Prime factors of 667 are 23,29. Prime factorization of 667 in exponential form is:

667 = 231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 661 and 667.

LCM(661,667) = 231×291×6611
LCM(661,667) = 440887

Factors of 661

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

1, 661

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Least Common Multiple of 661 and 667 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 667, than apply into the LCM equation.

GCF(661,667) = 1
LCM(661,667) = ( 661 × 667) / 1
LCM(661,667) = 440887 / 1
LCM(661,667) = 440887

Properties of LCM 661 and 667

(i) The LCM of 667 and 661 is associative

LCM of 661 and 667 = LCM of 667 and 661

Related Least Common Multiples of 661

Related Least Common Multiples of 667

Frequently Asked Questions on LCM of 661 and 667

1. What is the LCM of 661 and 667?

Answer: LCM of 661 and 667 is 440887.

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 667?

Answer: Factors of 667 are 1, 23, 29, 667. There are 4 integers that are factors of 667. The greatest factor of 667 is 667.

4. How to Find the LCM of 661 and 667?

Answer:

Least Common Multiple of 661 and 667 = 440887

Step 1: Find the prime factorization of 661

661 = 661

Step 2: Find the prime factorization of 667

667 = 23 x 29

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

LCM = 440887 = 23 x 29 x 661

Step 4: Therefore, the least common multiple of 661 and 667 is 440887.