Least Common Multiple of 640 and 647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 640 and 647 the smallest integer that is 414080 that is divisible by both numbers.

Least Common Multiple (LCM) of 640 and 647 is 414080.

LCM(640,647) = 414080

LCM of 640 and 647

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

LCM of:
and

Least Common Multiple of 640 and 647

LCM of 640 and 647 is 414080

Least common multiple can be found by multiplying the highest exponent prime factors of 640 and 647. First we will calculate the prime factors of 640 and 647.

Prime Factorization of 640


2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 640 are 2,5. Prime factorization of 640 in exponential form is:

640 = 27×51

Prime Factorization of 647


647 647
1

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

647 = 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 640 and 647.

LCM(640,647) = 27×51×6471
LCM(640,647) = 414080

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Factors of 647

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

1, 647

Least Common Multiple of 640 and 647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 640 and 647, than apply into the LCM equation.

GCF(640,647) = 1
LCM(640,647) = ( 640 × 647) / 1
LCM(640,647) = 414080 / 1
LCM(640,647) = 414080

Properties of LCM 640 and 647

(i) The LCM of 647 and 640 is associative

LCM of 640 and 647 = LCM of 647 and 640

Related Least Common Multiples of 640

Related Least Common Multiples of 647

Frequently Asked Questions on LCM of 640 and 647

1. What is the LCM of 640 and 647?

Answer: LCM of 640 and 647 is 414080.

2. What are the Factors of 640?

Answer: Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640. There are 16 integers that are factors of 640. The greatest factor of 640 is 640.

3. 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.

4. How to Find the LCM of 640 and 647?

Answer:

Least Common Multiple of 640 and 647 = 414080

Step 1: Find the prime factorization of 640

640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 647

647 = 647

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

LCM = 414080 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 647

Step 4: Therefore, the least common multiple of 640 and 647 is 414080.