Least Common Multiple of 640 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 640 and 648 the smallest integer that is 51840 that is divisible by both numbers.

Least Common Multiple (LCM) of 640 and 648 is 51840.

LCM(640,648) = 51840

LCM of 640 and 648

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

LCM of:
and

Least Common Multiple of 640 and 648

LCM of 640 and 648 is 51840

Least common multiple can be found by multiplying the highest exponent prime factors of 640 and 648. First we will calculate the prime factors of 640 and 648.

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 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 640 and 648.

LCM(640,648) = 27×34×51
LCM(640,648) = 51840

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 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 640 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 640 and 648, than apply into the LCM equation.

GCF(640,648) = 8
LCM(640,648) = ( 640 × 648) / 8
LCM(640,648) = 414720 / 8
LCM(640,648) = 51840

Properties of LCM 640 and 648

(i) The LCM of 648 and 640 is associative

LCM of 640 and 648 = LCM of 648 and 640

Related Least Common Multiples of 640

Related Least Common Multiples of 648

Frequently Asked Questions on LCM of 640 and 648

1. What is the LCM of 640 and 648?

Answer: LCM of 640 and 648 is 51840.

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 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 640 and 648?

Answer:

Least Common Multiple of 640 and 648 = 51840

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 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 = 51840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5

Step 4: Therefore, the least common multiple of 640 and 648 is 51840.