Least Common Multiple of 3648 and 3654

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 3654 the smallest integer that is 2221632 that is divisible by both numbers.

Least Common Multiple (LCM) of 3648 and 3654 is 2221632.

LCM(3648,3654) = 2221632

LCM of 3648 and 3654

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

LCM of:
and

Least Common Multiple of 3648 and 3654

LCM of 3648 and 3654 is 2221632

Least common multiple can be found by multiplying the highest exponent prime factors of 3648 and 3654. First we will calculate the prime factors of 3648 and 3654.

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 3654


2 3654
3 1827
3 609
7 203
29 29
1

Prime factors of 3654 are 2, 3, 7,29. Prime factorization of 3654 in exponential form is:

3654 = 21×32×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3648 and 3654.

LCM(3648,3654) = 26×32×71×191×291
LCM(3648,3654) = 2221632

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 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654

Least Common Multiple of 3648 and 3654 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 3654, than apply into the LCM equation.

GCF(3648,3654) = 6
LCM(3648,3654) = ( 3648 × 3654) / 6
LCM(3648,3654) = 13329792 / 6
LCM(3648,3654) = 2221632

Properties of LCM 3648 and 3654

(i) The LCM of 3654 and 3648 is associative

LCM of 3648 and 3654 = LCM of 3654 and 3648

Related Least Common Multiples of 3648

Related Least Common Multiples of 3654

Frequently Asked Questions on LCM of 3648 and 3654

1. What is the LCM of 3648 and 3654?

Answer: LCM of 3648 and 3654 is 2221632.

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 3654?

Answer: Factors of 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654. There are 24 integers that are factors of 3654. The greatest factor of 3654 is 3654.

4. How to Find the LCM of 3648 and 3654?

Answer:

Least Common Multiple of 3648 and 3654 = 2221632

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 3654

3654 = 2 x 3 x 3 x 7 x 29

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

LCM = 2221632 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19 x 29

Step 4: Therefore, the least common multiple of 3648 and 3654 is 2221632.