Least Common Multiple of 648 and 650

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 650 the smallest integer that is 210600 that is divisible by both numbers.

Least Common Multiple (LCM) of 648 and 650 is 210600.

LCM(648,650) = 210600

LCM of 648 and 650

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

LCM of:
and

Least Common Multiple of 648 and 650

LCM of 648 and 650 is 210600

Least common multiple can be found by multiplying the highest exponent prime factors of 648 and 650. First we will calculate the prime factors of 648 and 650.

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 650


2 650
5 325
5 65
13 13
1

Prime factors of 650 are 2, 5,13. Prime factorization of 650 in exponential form is:

650 = 21×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 648 and 650.

LCM(648,650) = 23×34×52×131
LCM(648,650) = 210600

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 650

List of positive integer factors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Least Common Multiple of 648 and 650 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 650, than apply into the LCM equation.

GCF(648,650) = 2
LCM(648,650) = ( 648 × 650) / 2
LCM(648,650) = 421200 / 2
LCM(648,650) = 210600

Properties of LCM 648 and 650

(i) The LCM of 650 and 648 is associative

LCM of 648 and 650 = LCM of 650 and 648

Related Least Common Multiples of 648

Related Least Common Multiples of 650

Frequently Asked Questions on LCM of 648 and 650

1. What is the LCM of 648 and 650?

Answer: LCM of 648 and 650 is 210600.

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 650?

Answer: Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. There are 12 integers that are factors of 650. The greatest factor of 650 is 650.

4. How to Find the LCM of 648 and 650?

Answer:

Least Common Multiple of 648 and 650 = 210600

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 650

650 = 2 x 5 x 5 x 13

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

LCM = 210600 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 13

Step 4: Therefore, the least common multiple of 648 and 650 is 210600.