Least Common Multiple of 658 and 663

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 663 the smallest integer that is 436254 that is divisible by both numbers.

Least Common Multiple (LCM) of 658 and 663 is 436254.

LCM(658,663) = 436254

LCM of 658 and 663

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

LCM of:
and

Least Common Multiple of 658 and 663

LCM of 658 and 663 is 436254

Least common multiple can be found by multiplying the highest exponent prime factors of 658 and 663. First we will calculate the prime factors of 658 and 663.

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 663


3 663
13 221
17 17
1

Prime factors of 663 are 3, 13,17. Prime factorization of 663 in exponential form is:

663 = 31×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 658 and 663.

LCM(658,663) = 21×31×71×131×171×471
LCM(658,663) = 436254

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 663

List of positive integer factors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Least Common Multiple of 658 and 663 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 663, than apply into the LCM equation.

GCF(658,663) = 1
LCM(658,663) = ( 658 × 663) / 1
LCM(658,663) = 436254 / 1
LCM(658,663) = 436254

Properties of LCM 658 and 663

(i) The LCM of 663 and 658 is associative

LCM of 658 and 663 = LCM of 663 and 658

Frequently Asked Questions on LCM of 658 and 663

1. What is the LCM of 658 and 663?

Answer: LCM of 658 and 663 is 436254.

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 663?

Answer: Factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663. There are 8 integers that are factors of 663. The greatest factor of 663 is 663.

4. How to Find the LCM of 658 and 663?

Answer:

Least Common Multiple of 658 and 663 = 436254

Step 1: Find the prime factorization of 658

658 = 2 x 7 x 47

Step 2: Find the prime factorization of 663

663 = 3 x 13 x 17

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

LCM = 436254 = 2 x 3 x 7 x 13 x 17 x 47

Step 4: Therefore, the least common multiple of 658 and 663 is 436254.