Least Common Multiple of 658 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 658 and 665 the smallest integer that is 62510 that is divisible by both numbers.

Least Common Multiple (LCM) of 658 and 665 is 62510.

LCM(658,665) = 62510

LCM of 658 and 665

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

LCM of:
and

Least Common Multiple of 658 and 665

LCM of 658 and 665 is 62510

Least common multiple can be found by multiplying the highest exponent prime factors of 658 and 665. First we will calculate the prime factors of 658 and 665.

Prime Factorization of 658


2 658
7 329
47 47
1

Prime factors of 658 are 2, 7,47. Prime factorization of 658 in exponential form is:

658 = 21×71×471

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 658 and 665.

LCM(658,665) = 21×51×71×191×471
LCM(658,665) = 62510

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 658 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 658 and 665, than apply into the LCM equation.

GCF(658,665) = 7
LCM(658,665) = ( 658 × 665) / 7
LCM(658,665) = 437570 / 7
LCM(658,665) = 62510

Properties of LCM 658 and 665

(i) The LCM of 665 and 658 is associative

LCM of 658 and 665 = LCM of 665 and 658

Related Least Common Multiples of 658

Related Least Common Multiples of 665

Frequently Asked Questions on LCM of 658 and 665

1. What is the LCM of 658 and 665?

Answer: LCM of 658 and 665 is 62510.

2. What are the Factors of 658?

Answer: Factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658. There are 8 integers that are factors of 658. The greatest factor of 658 is 658.

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 658 and 665?

Answer:

Least Common Multiple of 658 and 665 = 62510

Step 1: Find the prime factorization of 658

658 = 2 x 7 x 47

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 = 62510 = 2 x 5 x 7 x 19 x 47

Step 4: Therefore, the least common multiple of 658 and 665 is 62510.