Least Common Multiple of 3619 and 3623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3619 and 3623 the smallest integer that is 13111637 that is divisible by both numbers.

Least Common Multiple (LCM) of 3619 and 3623 is 13111637.

LCM(3619,3623) = 13111637

LCM of 3619 and 3623

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

LCM of:
and

Least Common Multiple of 3619 and 3623

LCM of 3619 and 3623 is 13111637

Least common multiple can be found by multiplying the highest exponent prime factors of 3619 and 3623. First we will calculate the prime factors of 3619 and 3623.

Prime Factorization of 3619


7 3619
11 517
47 47
1

Prime factors of 3619 are 7, 11,47. Prime factorization of 3619 in exponential form is:

3619 = 71×111×471

Prime Factorization of 3623


3623 3623
1

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

3623 = 36231

Now multiplying the highest exponent prime factors to calculate the LCM of 3619 and 3623.

LCM(3619,3623) = 71×111×471×36231
LCM(3619,3623) = 13111637

Factors of 3619

List of positive integer factors of 3619 that divides 3619 without a remainder.

1, 7, 11, 47, 77, 329, 517, 3619

Factors of 3623

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

1, 3623

Least Common Multiple of 3619 and 3623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3619 and 3623, than apply into the LCM equation.

GCF(3619,3623) = 1
LCM(3619,3623) = ( 3619 × 3623) / 1
LCM(3619,3623) = 13111637 / 1
LCM(3619,3623) = 13111637

Properties of LCM 3619 and 3623

(i) The LCM of 3623 and 3619 is associative

LCM of 3619 and 3623 = LCM of 3623 and 3619

Related Least Common Multiples of 3619

Related Least Common Multiples of 3623

Frequently Asked Questions on LCM of 3619 and 3623

1. What is the LCM of 3619 and 3623?

Answer: LCM of 3619 and 3623 is 13111637.

2. What are the Factors of 3619?

Answer: Factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619. There are 8 integers that are factors of 3619. The greatest factor of 3619 is 3619.

3. 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.

4. How to Find the LCM of 3619 and 3623?

Answer:

Least Common Multiple of 3619 and 3623 = 13111637

Step 1: Find the prime factorization of 3619

3619 = 7 x 11 x 47

Step 2: Find the prime factorization of 3623

3623 = 3623

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

LCM = 13111637 = 7 x 11 x 47 x 3623

Step 4: Therefore, the least common multiple of 3619 and 3623 is 13111637.