Least Common Multiple of 646 and 648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 646 and 648 the smallest integer that is 209304 that is divisible by both numbers.

Least Common Multiple (LCM) of 646 and 648 is 209304.

LCM(646,648) = 209304

LCM of 646 and 648

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

LCM of:
and

Least Common Multiple of 646 and 648

LCM of 646 and 648 is 209304

Least common multiple can be found by multiplying the highest exponent prime factors of 646 and 648. First we will calculate the prime factors of 646 and 648.

Prime Factorization of 646


2 646
17 323
19 19
1

Prime factors of 646 are 2, 17,19. Prime factorization of 646 in exponential form is:

646 = 21×171×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 646 and 648.

LCM(646,648) = 23×34×171×191
LCM(646,648) = 209304

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

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

Least Common Multiple of 646 and 648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 646 and 648, than apply into the LCM equation.

GCF(646,648) = 2
LCM(646,648) = ( 646 × 648) / 2
LCM(646,648) = 418608 / 2
LCM(646,648) = 209304

Properties of LCM 646 and 648

(i) The LCM of 648 and 646 is associative

LCM of 646 and 648 = LCM of 648 and 646

Related Least Common Multiples of 646

Related Least Common Multiples of 648

Frequently Asked Questions on LCM of 646 and 648

1. What is the LCM of 646 and 648?

Answer: LCM of 646 and 648 is 209304.

2. What are the Factors of 646?

Answer: Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646. There are 8 integers that are factors of 646. The greatest factor of 646 is 646.

3. 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.

4. How to Find the LCM of 646 and 648?

Answer:

Least Common Multiple of 646 and 648 = 209304

Step 1: Find the prime factorization of 646

646 = 2 x 17 x 19

Step 2: Find the prime factorization of 648

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

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

LCM = 209304 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 17 x 19

Step 4: Therefore, the least common multiple of 646 and 648 is 209304.