Least Common Multiple of 3623 and 3628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3623 and 3628 the smallest integer that is 13144244 that is divisible by both numbers.

Least Common Multiple (LCM) of 3623 and 3628 is 13144244.

LCM(3623,3628) = 13144244

LCM of 3623 and 3628

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

LCM of:
and

Least Common Multiple of 3623 and 3628

LCM of 3623 and 3628 is 13144244

Least common multiple can be found by multiplying the highest exponent prime factors of 3623 and 3628. First we will calculate the prime factors of 3623 and 3628.

Prime Factorization of 3623


3623 3623
1

Prime factors of 3623 are 3623. Prime factorization of 3623 in exponential form is:

3623 = 36231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3623 and 3628.

LCM(3623,3628) = 22×9071×36231
LCM(3623,3628) = 13144244

Factors of 3623

List of positive integer factors of 3623 that divides 3623 without a remainder.

1, 3623

Factors of 3628

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

1, 2, 4, 907, 1814, 3628

Least Common Multiple of 3623 and 3628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3623 and 3628, than apply into the LCM equation.

GCF(3623,3628) = 1
LCM(3623,3628) = ( 3623 × 3628) / 1
LCM(3623,3628) = 13144244 / 1
LCM(3623,3628) = 13144244

Properties of LCM 3623 and 3628

(i) The LCM of 3628 and 3623 is associative

LCM of 3623 and 3628 = LCM of 3628 and 3623

Related Least Common Multiples of 3623

Related Least Common Multiples of 3628

Frequently Asked Questions on LCM of 3623 and 3628

1. What is the LCM of 3623 and 3628?

Answer: LCM of 3623 and 3628 is 13144244.

2. What are the Factors of 3623?

Answer: Factors of 3623 are 1, 3623. There are 2 integers that are factors of 3623. The greatest factor of 3623 is 3623.

3. 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.

4. How to Find the LCM of 3623 and 3628?

Answer:

Least Common Multiple of 3623 and 3628 = 13144244

Step 1: Find the prime factorization of 3623

3623 = 3623

Step 2: Find the prime factorization of 3628

3628 = 2 x 2 x 907

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

LCM = 13144244 = 2 x 2 x 907 x 3623

Step 4: Therefore, the least common multiple of 3623 and 3628 is 13144244.