Least Common Multiple of 664 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 664 and 665 the smallest integer that is 441560 that is divisible by both numbers.

Least Common Multiple (LCM) of 664 and 665 is 441560.

LCM(664,665) = 441560

LCM of 664 and 665

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

LCM of:
and

Least Common Multiple of 664 and 665

LCM of 664 and 665 is 441560

Least common multiple can be found by multiplying the highest exponent prime factors of 664 and 665. First we will calculate the prime factors of 664 and 665.

Prime Factorization of 664


2 664
2 332
2 166
83 83
1

Prime factors of 664 are 2,83. Prime factorization of 664 in exponential form is:

664 = 23×831

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 664 and 665.

LCM(664,665) = 23×51×71×191×831
LCM(664,665) = 441560

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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 664 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 664 and 665, than apply into the LCM equation.

GCF(664,665) = 1
LCM(664,665) = ( 664 × 665) / 1
LCM(664,665) = 441560 / 1
LCM(664,665) = 441560

Properties of LCM 664 and 665

(i) The LCM of 665 and 664 is associative

LCM of 664 and 665 = LCM of 665 and 664

Related Least Common Multiples of 664

Related Least Common Multiples of 665

Frequently Asked Questions on LCM of 664 and 665

1. What is the LCM of 664 and 665?

Answer: LCM of 664 and 665 is 441560.

2. What are the Factors of 664?

Answer: Factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664. There are 8 integers that are factors of 664. The greatest factor of 664 is 664.

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 664 and 665?

Answer:

Least Common Multiple of 664 and 665 = 441560

Step 1: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

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 = 441560 = 2 x 2 x 2 x 5 x 7 x 19 x 83

Step 4: Therefore, the least common multiple of 664 and 665 is 441560.