Least Common Multiple of 643 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 643 and 648 the smallest integer that is 416664 that is divisible by both numbers.

Least Common Multiple (LCM) of 643 and 648 is 416664.

LCM(643,648) = 416664

LCM of 643 and 648

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

LCM of:
and

Least Common Multiple of 643 and 648

LCM of 643 and 648 is 416664

Least common multiple can be found by multiplying the highest exponent prime factors of 643 and 648. First we will calculate the prime factors of 643 and 648.

Prime Factorization of 643


643 643
1

Prime factors of 643 are 643. Prime factorization of 643 in exponential form is:

643 = 6431

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 643 and 648.

LCM(643,648) = 23×34×6431
LCM(643,648) = 416664

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1, 643

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 643 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 643 and 648, than apply into the LCM equation.

GCF(643,648) = 1
LCM(643,648) = ( 643 × 648) / 1
LCM(643,648) = 416664 / 1
LCM(643,648) = 416664

Properties of LCM 643 and 648

(i) The LCM of 648 and 643 is associative

LCM of 643 and 648 = LCM of 648 and 643

Related Least Common Multiples of 643

Related Least Common Multiples of 648

Frequently Asked Questions on LCM of 643 and 648

1. What is the LCM of 643 and 648?

Answer: LCM of 643 and 648 is 416664.

2. What are the Factors of 643?

Answer: Factors of 643 are 1, 643. There are 2 integers that are factors of 643. The greatest factor of 643 is 643.

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 643 and 648?

Answer:

Least Common Multiple of 643 and 648 = 416664

Step 1: Find the prime factorization of 643

643 = 643

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 = 416664 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 643

Step 4: Therefore, the least common multiple of 643 and 648 is 416664.