Least Common Multiple of 658 and 662

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 662 the smallest integer that is 217798 that is divisible by both numbers.

Least Common Multiple (LCM) of 658 and 662 is 217798.

LCM(658,662) = 217798

LCM of 658 and 662

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

LCM of:
and

Least Common Multiple of 658 and 662

LCM of 658 and 662 is 217798

Least common multiple can be found by multiplying the highest exponent prime factors of 658 and 662. First we will calculate the prime factors of 658 and 662.

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 662


2 662
331 331
1

Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:

662 = 21×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 658 and 662.

LCM(658,662) = 21×71×471×3311
LCM(658,662) = 217798

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 662

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

1, 2, 331, 662

Least Common Multiple of 658 and 662 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 662, than apply into the LCM equation.

GCF(658,662) = 2
LCM(658,662) = ( 658 × 662) / 2
LCM(658,662) = 435596 / 2
LCM(658,662) = 217798

Properties of LCM 658 and 662

(i) The LCM of 662 and 658 is associative

LCM of 658 and 662 = LCM of 662 and 658

Frequently Asked Questions on LCM of 658 and 662

1. What is the LCM of 658 and 662?

Answer: LCM of 658 and 662 is 217798.

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 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.

4. How to Find the LCM of 658 and 662?

Answer:

Least Common Multiple of 658 and 662 = 217798

Step 1: Find the prime factorization of 658

658 = 2 x 7 x 47

Step 2: Find the prime factorization of 662

662 = 2 x 331

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

LCM = 217798 = 2 x 7 x 47 x 331

Step 4: Therefore, the least common multiple of 658 and 662 is 217798.