Least Common Multiple of 2 and 19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 2 and 19 the smallest integer that is 38 that is divisible by both numbers.

Least Common Multiple (LCM) of 2 and 19 is 38.

LCM(2,19) = 38

LCM of 2 and 19

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

LCM of:
and

Least Common Multiple of 2 and 19

LCM of 2 and 19 is 38

Least common multiple can be found by multiplying the highest exponent prime factors of 2 and 19. First we will calculate the prime factors of 2 and 19.

Prime Factorization of 2


2 2
1

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

2 = 21

Prime Factorization of 19


19 19
1

Prime factors of 19 are 19. Prime factorization of 19 in exponential form is:

19 = 191

Now multiplying the highest exponent prime factors to calculate the LCM of 2 and 19.

LCM(2,19) = 21×191
LCM(2,19) = 38

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1, 2

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1, 19

Least Common Multiple of 2 and 19 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2 and 19, than apply into the LCM equation.

GCF(2,19) = 1
LCM(2,19) = ( 2 × 19) / 1
LCM(2,19) = 38 / 1
LCM(2,19) = 38

Properties of LCM 2 and 19

(i) The LCM of 19 and 2 is associative

LCM of 2 and 19 = LCM of 19 and 2

Frequently Asked Questions on LCM of 2 and 19

1. What is the LCM of 2 and 19?

Answer: LCM of 2 and 19 is 38.

2. What are the Factors of 2?

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

3. What are the Factors of 19?

Answer: Factors of 19 are 1, 19. There are 2 integers that are factors of 19. The greatest factor of 19 is 19.

4. How to Find the LCM of 2 and 19?

Answer:

Least Common Multiple of 2 and 19 = 38

Step 1: Find the prime factorization of 2

2 = 2

Step 2: Find the prime factorization of 19

19 = 19

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

LCM = 38 = 2 x 19

Step 4: Therefore, the least common multiple of 2 and 19 is 38.