Least Common Multiple of 648 and 649

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 649 the smallest integer that is 420552 that is divisible by both numbers.

Least Common Multiple (LCM) of 648 and 649 is 420552.

LCM(648,649) = 420552

LCM of 648 and 649

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

LCM of:
and

Least Common Multiple of 648 and 649

LCM of 648 and 649 is 420552

Least common multiple can be found by multiplying the highest exponent prime factors of 648 and 649. First we will calculate the prime factors of 648 and 649.

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 649


11 649
59 59
1

Prime factors of 649 are 11,59. Prime factorization of 649 in exponential form is:

649 = 111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 648 and 649.

LCM(648,649) = 23×34×111×591
LCM(648,649) = 420552

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 649

List of positive integer factors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Least Common Multiple of 648 and 649 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 649, than apply into the LCM equation.

GCF(648,649) = 1
LCM(648,649) = ( 648 × 649) / 1
LCM(648,649) = 420552 / 1
LCM(648,649) = 420552

Properties of LCM 648 and 649

(i) The LCM of 649 and 648 is associative

LCM of 648 and 649 = LCM of 649 and 648

Related Least Common Multiples of 648

Related Least Common Multiples of 649

Frequently Asked Questions on LCM of 648 and 649

1. What is the LCM of 648 and 649?

Answer: LCM of 648 and 649 is 420552.

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 649?

Answer: Factors of 649 are 1, 11, 59, 649. There are 4 integers that are factors of 649. The greatest factor of 649 is 649.

4. How to Find the LCM of 648 and 649?

Answer:

Least Common Multiple of 648 and 649 = 420552

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 649

649 = 11 x 59

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

LCM = 420552 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 59

Step 4: Therefore, the least common multiple of 648 and 649 is 420552.