Least Common Multiple of 6648 and 6653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6648 and 6653 the smallest integer that is 44229144 that is divisible by both numbers.

Least Common Multiple (LCM) of 6648 and 6653 is 44229144.

LCM(6648,6653) = 44229144

LCM of 6648 and 6653

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

LCM of:
and

Least Common Multiple of 6648 and 6653

LCM of 6648 and 6653 is 44229144

Least common multiple can be found by multiplying the highest exponent prime factors of 6648 and 6653. First we will calculate the prime factors of 6648 and 6653.

Prime Factorization of 6648


2 6648
2 3324
2 1662
3 831
277 277
1

Prime factors of 6648 are 2, 3,277. Prime factorization of 6648 in exponential form is:

6648 = 23×31×2771

Prime Factorization of 6653


6653 6653
1

Prime factors of 6653 are 6653. Prime factorization of 6653 in exponential form is:

6653 = 66531

Now multiplying the highest exponent prime factors to calculate the LCM of 6648 and 6653.

LCM(6648,6653) = 23×31×2771×66531
LCM(6648,6653) = 44229144

Factors of 6648

List of positive integer factors of 6648 that divides 6648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648

Factors of 6653

List of positive integer factors of 6653 that divides 6653 without a remainder.

1, 6653

Least Common Multiple of 6648 and 6653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6648 and 6653, than apply into the LCM equation.

GCF(6648,6653) = 1
LCM(6648,6653) = ( 6648 × 6653) / 1
LCM(6648,6653) = 44229144 / 1
LCM(6648,6653) = 44229144

Properties of LCM 6648 and 6653

(i) The LCM of 6653 and 6648 is associative

LCM of 6648 and 6653 = LCM of 6653 and 6648

Related Least Common Multiples of 6648

Related Least Common Multiples of 6653

Frequently Asked Questions on LCM of 6648 and 6653

1. What is the LCM of 6648 and 6653?

Answer: LCM of 6648 and 6653 is 44229144.

2. What are the Factors of 6648?

Answer: Factors of 6648 are 1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648. There are 16 integers that are factors of 6648. The greatest factor of 6648 is 6648.

3. What are the Factors of 6653?

Answer: Factors of 6653 are 1, 6653. There are 2 integers that are factors of 6653. The greatest factor of 6653 is 6653.

4. How to Find the LCM of 6648 and 6653?

Answer:

Least Common Multiple of 6648 and 6653 = 44229144

Step 1: Find the prime factorization of 6648

6648 = 2 x 2 x 2 x 3 x 277

Step 2: Find the prime factorization of 6653

6653 = 6653

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

LCM = 44229144 = 2 x 2 x 2 x 3 x 277 x 6653

Step 4: Therefore, the least common multiple of 6648 and 6653 is 44229144.