Least Common Multiple of 650 and 658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 650 and 658 the smallest integer that is 213850 that is divisible by both numbers.

Least Common Multiple (LCM) of 650 and 658 is 213850.

LCM(650,658) = 213850

LCM of 650 and 658

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

LCM of:
and

Least Common Multiple of 650 and 658

LCM of 650 and 658 is 213850

Least common multiple can be found by multiplying the highest exponent prime factors of 650 and 658. First we will calculate the prime factors of 650 and 658.

Prime Factorization of 650


2 650
5 325
5 65
13 13
1

Prime factors of 650 are 2, 5,13. Prime factorization of 650 in exponential form is:

650 = 21×52×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 650 and 658.

LCM(650,658) = 21×52×71×131×471
LCM(650,658) = 213850

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Factors of 658

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

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

Least Common Multiple of 650 and 658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 650 and 658, than apply into the LCM equation.

GCF(650,658) = 2
LCM(650,658) = ( 650 × 658) / 2
LCM(650,658) = 427700 / 2
LCM(650,658) = 213850

Properties of LCM 650 and 658

(i) The LCM of 658 and 650 is associative

LCM of 650 and 658 = LCM of 658 and 650

Related Least Common Multiples of 650

Related Least Common Multiples of 658

Frequently Asked Questions on LCM of 650 and 658

1. What is the LCM of 650 and 658?

Answer: LCM of 650 and 658 is 213850.

2. What are the Factors of 650?

Answer: Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. There are 12 integers that are factors of 650. The greatest factor of 650 is 650.

3. 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.

4. How to Find the LCM of 650 and 658?

Answer:

Least Common Multiple of 650 and 658 = 213850

Step 1: Find the prime factorization of 650

650 = 2 x 5 x 5 x 13

Step 2: Find the prime factorization of 658

658 = 2 x 7 x 47

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

LCM = 213850 = 2 x 5 x 5 x 7 x 13 x 47

Step 4: Therefore, the least common multiple of 650 and 658 is 213850.