Least Common Multiple of 661 and 665

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 665 the smallest integer that is 439565 that is divisible by both numbers.

Least Common Multiple (LCM) of 661 and 665 is 439565.

LCM(661,665) = 439565

LCM of 661 and 665

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

LCM of:
and

Least Common Multiple of 661 and 665

LCM of 661 and 665 is 439565

Least common multiple can be found by multiplying the highest exponent prime factors of 661 and 665. First we will calculate the prime factors of 661 and 665.

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 665


5 665
7 133
19 19
1

Prime factors of 665 are 5, 7,19. Prime factorization of 665 in exponential form is:

665 = 51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 661 and 665.

LCM(661,665) = 51×71×191×6611
LCM(661,665) = 439565

Factors of 661

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

1, 661

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Least Common Multiple of 661 and 665 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 665, than apply into the LCM equation.

GCF(661,665) = 1
LCM(661,665) = ( 661 × 665) / 1
LCM(661,665) = 439565 / 1
LCM(661,665) = 439565

Properties of LCM 661 and 665

(i) The LCM of 665 and 661 is associative

LCM of 661 and 665 = LCM of 665 and 661

Related Least Common Multiples of 661

Related Least Common Multiples of 665

Frequently Asked Questions on LCM of 661 and 665

1. What is the LCM of 661 and 665?

Answer: LCM of 661 and 665 is 439565.

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 665?

Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.

4. How to Find the LCM of 661 and 665?

Answer:

Least Common Multiple of 661 and 665 = 439565

Step 1: Find the prime factorization of 661

661 = 661

Step 2: Find the prime factorization of 665

665 = 5 x 7 x 19

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

LCM = 439565 = 5 x 7 x 19 x 661

Step 4: Therefore, the least common multiple of 661 and 665 is 439565.