Least Common Multiple of 658 and 659

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 659 the smallest integer that is 433622 that is divisible by both numbers.

Least Common Multiple (LCM) of 658 and 659 is 433622.

LCM(658,659) = 433622

LCM of 658 and 659

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

LCM of:
and

Least Common Multiple of 658 and 659

LCM of 658 and 659 is 433622

Least common multiple can be found by multiplying the highest exponent prime factors of 658 and 659. First we will calculate the prime factors of 658 and 659.

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 659


659 659
1

Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:

659 = 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 658 and 659.

LCM(658,659) = 21×71×471×6591
LCM(658,659) = 433622

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 659

List of positive integer factors of 659 that divides 659 without a remainder.

1, 659

Least Common Multiple of 658 and 659 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 659, than apply into the LCM equation.

GCF(658,659) = 1
LCM(658,659) = ( 658 × 659) / 1
LCM(658,659) = 433622 / 1
LCM(658,659) = 433622

Properties of LCM 658 and 659

(i) The LCM of 659 and 658 is associative

LCM of 658 and 659 = LCM of 659 and 658

Related Least Common Multiples of 658

Related Least Common Multiples of 659

Frequently Asked Questions on LCM of 658 and 659

1. What is the LCM of 658 and 659?

Answer: LCM of 658 and 659 is 433622.

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 659?

Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.

4. How to Find the LCM of 658 and 659?

Answer:

Least Common Multiple of 658 and 659 = 433622

Step 1: Find the prime factorization of 658

658 = 2 x 7 x 47

Step 2: Find the prime factorization of 659

659 = 659

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

LCM = 433622 = 2 x 7 x 47 x 659

Step 4: Therefore, the least common multiple of 658 and 659 is 433622.