Least Common Multiple of 648 and 653

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 653 the smallest integer that is 423144 that is divisible by both numbers.

Least Common Multiple (LCM) of 648 and 653 is 423144.

LCM(648,653) = 423144

LCM of 648 and 653

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

LCM of:
and

Least Common Multiple of 648 and 653

LCM of 648 and 653 is 423144

Least common multiple can be found by multiplying the highest exponent prime factors of 648 and 653. First we will calculate the prime factors of 648 and 653.

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 653


653 653
1

Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:

653 = 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 648 and 653.

LCM(648,653) = 23×34×6531
LCM(648,653) = 423144

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 653

List of positive integer factors of 653 that divides 653 without a remainder.

1, 653

Least Common Multiple of 648 and 653 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 653, than apply into the LCM equation.

GCF(648,653) = 1
LCM(648,653) = ( 648 × 653) / 1
LCM(648,653) = 423144 / 1
LCM(648,653) = 423144

Properties of LCM 648 and 653

(i) The LCM of 653 and 648 is associative

LCM of 648 and 653 = LCM of 653 and 648

Related Least Common Multiples of 648

Related Least Common Multiples of 653

Frequently Asked Questions on LCM of 648 and 653

1. What is the LCM of 648 and 653?

Answer: LCM of 648 and 653 is 423144.

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 653?

Answer: Factors of 653 are 1, 653. There are 2 integers that are factors of 653. The greatest factor of 653 is 653.

4. How to Find the LCM of 648 and 653?

Answer:

Least Common Multiple of 648 and 653 = 423144

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 653

653 = 653

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

LCM = 423144 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 653

Step 4: Therefore, the least common multiple of 648 and 653 is 423144.