Least Common Multiple of 647 and 650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 647 and 650 the smallest integer that is 420550 that is divisible by both numbers.

Least Common Multiple (LCM) of 647 and 650 is 420550.

LCM(647,650) = 420550

LCM of 647 and 650

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

LCM of:
and

Least Common Multiple of 647 and 650

LCM of 647 and 650 is 420550

Least common multiple can be found by multiplying the highest exponent prime factors of 647 and 650. First we will calculate the prime factors of 647 and 650.

Prime Factorization of 647


647 647
1

Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:

647 = 6471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 647 and 650.

LCM(647,650) = 21×52×131×6471
LCM(647,650) = 420550

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1, 647

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

Least Common Multiple of 647 and 650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 647 and 650, than apply into the LCM equation.

GCF(647,650) = 1
LCM(647,650) = ( 647 × 650) / 1
LCM(647,650) = 420550 / 1
LCM(647,650) = 420550

Properties of LCM 647 and 650

(i) The LCM of 650 and 647 is associative

LCM of 647 and 650 = LCM of 650 and 647

Related Least Common Multiples of 647

Related Least Common Multiples of 650

Frequently Asked Questions on LCM of 647 and 650

1. What is the LCM of 647 and 650?

Answer: LCM of 647 and 650 is 420550.

2. What are the Factors of 647?

Answer: Factors of 647 are 1, 647. There are 2 integers that are factors of 647. The greatest factor of 647 is 647.

3. 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.

4. How to Find the LCM of 647 and 650?

Answer:

Least Common Multiple of 647 and 650 = 420550

Step 1: Find the prime factorization of 647

647 = 647

Step 2: Find the prime factorization of 650

650 = 2 x 5 x 5 x 13

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

LCM = 420550 = 2 x 5 x 5 x 13 x 647

Step 4: Therefore, the least common multiple of 647 and 650 is 420550.