Least Common Multiple of 662 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 662 and 665 the smallest integer that is 440230 that is divisible by both numbers.

Least Common Multiple (LCM) of 662 and 665 is 440230.

LCM(662,665) = 440230

LCM of 662 and 665

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

LCM of:
and

Least Common Multiple of 662 and 665

LCM of 662 and 665 is 440230

Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 665. First we will calculate the prime factors of 662 and 665.

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 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 662 and 665.

LCM(662,665) = 21×51×71×191×3311
LCM(662,665) = 440230

Factors of 662

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

1, 2, 331, 662

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 662 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 662 and 665, than apply into the LCM equation.

GCF(662,665) = 1
LCM(662,665) = ( 662 × 665) / 1
LCM(662,665) = 440230 / 1
LCM(662,665) = 440230

Properties of LCM 662 and 665

(i) The LCM of 665 and 662 is associative

LCM of 662 and 665 = LCM of 665 and 662

Related Least Common Multiples of 662

Related Least Common Multiples of 665

Frequently Asked Questions on LCM of 662 and 665

1. What is the LCM of 662 and 665?

Answer: LCM of 662 and 665 is 440230.

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 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 662 and 665?

Answer:

Least Common Multiple of 662 and 665 = 440230

Step 1: Find the prime factorization of 662

662 = 2 x 331

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 = 440230 = 2 x 5 x 7 x 19 x 331

Step 4: Therefore, the least common multiple of 662 and 665 is 440230.