Least Common Multiple of 3648 and 3653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3648 and 3653 the smallest integer that is 13326144 that is divisible by both numbers.

Least Common Multiple (LCM) of 3648 and 3653 is 13326144.

LCM(3648,3653) = 13326144

LCM of 3648 and 3653

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

LCM of:
and

Least Common Multiple of 3648 and 3653

LCM of 3648 and 3653 is 13326144

Least common multiple can be found by multiplying the highest exponent prime factors of 3648 and 3653. First we will calculate the prime factors of 3648 and 3653.

Prime Factorization of 3648


2 3648
2 1824
2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 3648 are 2, 3,19. Prime factorization of 3648 in exponential form is:

3648 = 26×31×191

Prime Factorization of 3653


13 3653
281 281
1

Prime factors of 3653 are 13,281. Prime factorization of 3653 in exponential form is:

3653 = 131×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 3648 and 3653.

LCM(3648,3653) = 26×31×131×191×2811
LCM(3648,3653) = 13326144

Factors of 3648

List of positive integer factors of 3648 that divides 3648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648

Factors of 3653

List of positive integer factors of 3653 that divides 3653 without a remainder.

1, 13, 281, 3653

Least Common Multiple of 3648 and 3653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3648 and 3653, than apply into the LCM equation.

GCF(3648,3653) = 1
LCM(3648,3653) = ( 3648 × 3653) / 1
LCM(3648,3653) = 13326144 / 1
LCM(3648,3653) = 13326144

Properties of LCM 3648 and 3653

(i) The LCM of 3653 and 3648 is associative

LCM of 3648 and 3653 = LCM of 3653 and 3648

Related Least Common Multiples of 3648

Related Least Common Multiples of 3653

Frequently Asked Questions on LCM of 3648 and 3653

1. What is the LCM of 3648 and 3653?

Answer: LCM of 3648 and 3653 is 13326144.

2. What are the Factors of 3648?

Answer: Factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648. There are 28 integers that are factors of 3648. The greatest factor of 3648 is 3648.

3. What are the Factors of 3653?

Answer: Factors of 3653 are 1, 13, 281, 3653. There are 4 integers that are factors of 3653. The greatest factor of 3653 is 3653.

4. How to Find the LCM of 3648 and 3653?

Answer:

Least Common Multiple of 3648 and 3653 = 13326144

Step 1: Find the prime factorization of 3648

3648 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 3653

3653 = 13 x 281

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

LCM = 13326144 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 19 x 281

Step 4: Therefore, the least common multiple of 3648 and 3653 is 13326144.