Least Common Multiple of 3628 and 3636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3628 and 3636 the smallest integer that is 3297852 that is divisible by both numbers.

Least Common Multiple (LCM) of 3628 and 3636 is 3297852.

LCM(3628,3636) = 3297852

LCM of 3628 and 3636

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

LCM of:
and

Least Common Multiple of 3628 and 3636

LCM of 3628 and 3636 is 3297852

Least common multiple can be found by multiplying the highest exponent prime factors of 3628 and 3636. First we will calculate the prime factors of 3628 and 3636.

Prime Factorization of 3628


2 3628
2 1814
907 907
1

Prime factors of 3628 are 2,907. Prime factorization of 3628 in exponential form is:

3628 = 22×9071

Prime Factorization of 3636


2 3636
2 1818
3 909
3 303
101 101
1

Prime factors of 3636 are 2, 3,101. Prime factorization of 3636 in exponential form is:

3636 = 22×32×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3628 and 3636.

LCM(3628,3636) = 22×32×1011×9071
LCM(3628,3636) = 3297852

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1, 2, 4, 907, 1814, 3628

Factors of 3636

List of positive integer factors of 3636 that divides 3636 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636

Least Common Multiple of 3628 and 3636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3628 and 3636, than apply into the LCM equation.

GCF(3628,3636) = 4
LCM(3628,3636) = ( 3628 × 3636) / 4
LCM(3628,3636) = 13191408 / 4
LCM(3628,3636) = 3297852

Properties of LCM 3628 and 3636

(i) The LCM of 3636 and 3628 is associative

LCM of 3628 and 3636 = LCM of 3636 and 3628

Related Least Common Multiples of 3628

Related Least Common Multiples of 3636

Frequently Asked Questions on LCM of 3628 and 3636

1. What is the LCM of 3628 and 3636?

Answer: LCM of 3628 and 3636 is 3297852.

2. What are the Factors of 3628?

Answer: Factors of 3628 are 1, 2, 4, 907, 1814, 3628. There are 6 integers that are factors of 3628. The greatest factor of 3628 is 3628.

3. What are the Factors of 3636?

Answer: Factors of 3636 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636. There are 18 integers that are factors of 3636. The greatest factor of 3636 is 3636.

4. How to Find the LCM of 3628 and 3636?

Answer:

Least Common Multiple of 3628 and 3636 = 3297852

Step 1: Find the prime factorization of 3628

3628 = 2 x 2 x 907

Step 2: Find the prime factorization of 3636

3636 = 2 x 2 x 3 x 3 x 101

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

LCM = 3297852 = 2 x 2 x 3 x 3 x 101 x 907

Step 4: Therefore, the least common multiple of 3628 and 3636 is 3297852.