Least Common Multiple of 648 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 648 and 655 the smallest integer that is 424440 that is divisible by both numbers.

Least Common Multiple (LCM) of 648 and 655 is 424440.

LCM(648,655) = 424440

LCM of 648 and 655

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

LCM of:
and

Least Common Multiple of 648 and 655

LCM of 648 and 655 is 424440

Least common multiple can be found by multiplying the highest exponent prime factors of 648 and 655. First we will calculate the prime factors of 648 and 655.

Prime Factorization of 648


2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 648 are 2,3. Prime factorization of 648 in exponential form is:

648 = 23×34

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 648 and 655.

LCM(648,655) = 23×34×51×1311
LCM(648,655) = 424440

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Factors of 655

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

1, 5, 131, 655

Least Common Multiple of 648 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 648 and 655, than apply into the LCM equation.

GCF(648,655) = 1
LCM(648,655) = ( 648 × 655) / 1
LCM(648,655) = 424440 / 1
LCM(648,655) = 424440

Properties of LCM 648 and 655

(i) The LCM of 655 and 648 is associative

LCM of 648 and 655 = LCM of 655 and 648

Related Least Common Multiples of 648

Related Least Common Multiples of 655

Frequently Asked Questions on LCM of 648 and 655

1. What is the LCM of 648 and 655?

Answer: LCM of 648 and 655 is 424440.

2. What are the Factors of 648?

Answer: Factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648. There are 20 integers that are factors of 648. The greatest factor of 648 is 648.

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 648 and 655?

Answer:

Least Common Multiple of 648 and 655 = 424440

Step 1: Find the prime factorization of 648

648 = 2 x 2 x 2 x 3 x 3 x 3 x 3

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 = 424440 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 131

Step 4: Therefore, the least common multiple of 648 and 655 is 424440.