Least Common Multiple of 647 and 655

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 655 the smallest integer that is 423785 that is divisible by both numbers.

Least Common Multiple (LCM) of 647 and 655 is 423785.

LCM(647,655) = 423785

LCM of 647 and 655

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

LCM of:
and

Least Common Multiple of 647 and 655

LCM of 647 and 655 is 423785

Least common multiple can be found by multiplying the highest exponent prime factors of 647 and 655. First we will calculate the prime factors of 647 and 655.

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 655


5 655
131 131
1

Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:

655 = 51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 647 and 655.

LCM(647,655) = 51×1311×6471
LCM(647,655) = 423785

Factors of 647

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

1, 647

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Least Common Multiple of 647 and 655 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 655, than apply into the LCM equation.

GCF(647,655) = 1
LCM(647,655) = ( 647 × 655) / 1
LCM(647,655) = 423785 / 1
LCM(647,655) = 423785

Properties of LCM 647 and 655

(i) The LCM of 655 and 647 is associative

LCM of 647 and 655 = LCM of 655 and 647

Related Least Common Multiples of 647

Related Least Common Multiples of 655

Frequently Asked Questions on LCM of 647 and 655

1. What is the LCM of 647 and 655?

Answer: LCM of 647 and 655 is 423785.

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 655?

Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.

4. How to Find the LCM of 647 and 655?

Answer:

Least Common Multiple of 647 and 655 = 423785

Step 1: Find the prime factorization of 647

647 = 647

Step 2: Find the prime factorization of 655

655 = 5 x 131

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

LCM = 423785 = 5 x 131 x 647

Step 4: Therefore, the least common multiple of 647 and 655 is 423785.