Least Common Multiple of 650 and 656

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 656 the smallest integer that is 213200 that is divisible by both numbers.

Least Common Multiple (LCM) of 650 and 656 is 213200.

LCM(650,656) = 213200

LCM of 650 and 656

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

LCM of:
and

Least Common Multiple of 650 and 656

LCM of 650 and 656 is 213200

Least common multiple can be found by multiplying the highest exponent prime factors of 650 and 656. First we will calculate the prime factors of 650 and 656.

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 656


2 656
2 328
2 164
2 82
41 41
1

Prime factors of 656 are 2,41. Prime factorization of 656 in exponential form is:

656 = 24×411

Now multiplying the highest exponent prime factors to calculate the LCM of 650 and 656.

LCM(650,656) = 24×52×131×411
LCM(650,656) = 213200

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 656

List of positive integer factors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Least Common Multiple of 650 and 656 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 656, than apply into the LCM equation.

GCF(650,656) = 2
LCM(650,656) = ( 650 × 656) / 2
LCM(650,656) = 426400 / 2
LCM(650,656) = 213200

Properties of LCM 650 and 656

(i) The LCM of 656 and 650 is associative

LCM of 650 and 656 = LCM of 656 and 650

Related Least Common Multiples of 650

Related Least Common Multiples of 656

Frequently Asked Questions on LCM of 650 and 656

1. What is the LCM of 650 and 656?

Answer: LCM of 650 and 656 is 213200.

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 656?

Answer: Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. There are 10 integers that are factors of 656. The greatest factor of 656 is 656.

4. How to Find the LCM of 650 and 656?

Answer:

Least Common Multiple of 650 and 656 = 213200

Step 1: Find the prime factorization of 650

650 = 2 x 5 x 5 x 13

Step 2: Find the prime factorization of 656

656 = 2 x 2 x 2 x 2 x 41

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

LCM = 213200 = 2 x 2 x 2 x 2 x 5 x 5 x 13 x 41

Step 4: Therefore, the least common multiple of 650 and 656 is 213200.