Least Common Multiple of 3648 and 3652

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 3652 the smallest integer that is 3330624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3648 and 3652 is 3330624.

LCM(3648,3652) = 3330624

LCM of 3648 and 3652

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

LCM of:
and

Least Common Multiple of 3648 and 3652

LCM of 3648 and 3652 is 3330624

Least common multiple can be found by multiplying the highest exponent prime factors of 3648 and 3652. First we will calculate the prime factors of 3648 and 3652.

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 3652


2 3652
2 1826
11 913
83 83
1

Prime factors of 3652 are 2, 11,83. Prime factorization of 3652 in exponential form is:

3652 = 22×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3648 and 3652.

LCM(3648,3652) = 26×31×111×191×831
LCM(3648,3652) = 3330624

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 3652

List of positive integer factors of 3652 that divides 3652 without a remainder.

1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826, 3652

Least Common Multiple of 3648 and 3652 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 3652, than apply into the LCM equation.

GCF(3648,3652) = 4
LCM(3648,3652) = ( 3648 × 3652) / 4
LCM(3648,3652) = 13322496 / 4
LCM(3648,3652) = 3330624

Properties of LCM 3648 and 3652

(i) The LCM of 3652 and 3648 is associative

LCM of 3648 and 3652 = LCM of 3652 and 3648

Related Least Common Multiples of 3648

Related Least Common Multiples of 3652

Frequently Asked Questions on LCM of 3648 and 3652

1. What is the LCM of 3648 and 3652?

Answer: LCM of 3648 and 3652 is 3330624.

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 3652?

Answer: Factors of 3652 are 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826, 3652. There are 12 integers that are factors of 3652. The greatest factor of 3652 is 3652.

4. How to Find the LCM of 3648 and 3652?

Answer:

Least Common Multiple of 3648 and 3652 = 3330624

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 3652

3652 = 2 x 2 x 11 x 83

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

LCM = 3330624 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 19 x 83

Step 4: Therefore, the least common multiple of 3648 and 3652 is 3330624.