Least Common Multiple of 2 and 15

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 15 the smallest integer that is 30 that is divisible by both numbers.

Least Common Multiple (LCM) of 2 and 15 is 30.

LCM(2,15) = 30

LCM of 2 and 15

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

LCM of:
and

Least Common Multiple of 2 and 15

LCM of 2 and 15 is 30

Least common multiple can be found by multiplying the highest exponent prime factors of 2 and 15. First we will calculate the prime factors of 2 and 15.

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 15


3 15
5 5
1

Prime factors of 15 are 3,5. Prime factorization of 15 in exponential form is:

15 = 31×51

Now multiplying the highest exponent prime factors to calculate the LCM of 2 and 15.

LCM(2,15) = 21×31×51
LCM(2,15) = 30

Factors of 2

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

1, 2

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Least Common Multiple of 2 and 15 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 15, than apply into the LCM equation.

GCF(2,15) = 1
LCM(2,15) = ( 2 × 15) / 1
LCM(2,15) = 30 / 1
LCM(2,15) = 30

Properties of LCM 2 and 15

(i) The LCM of 15 and 2 is associative

LCM of 2 and 15 = LCM of 15 and 2

Frequently Asked Questions on LCM of 2 and 15

1. What is the LCM of 2 and 15?

Answer: LCM of 2 and 15 is 30.

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 15?

Answer: Factors of 15 are 1, 3, 5, 15. There are 4 integers that are factors of 15. The greatest factor of 15 is 15.

4. How to Find the LCM of 2 and 15?

Answer:

Least Common Multiple of 2 and 15 = 30

Step 1: Find the prime factorization of 2

2 = 2

Step 2: Find the prime factorization of 15

15 = 3 x 5

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

LCM = 30 = 2 x 3 x 5

Step 4: Therefore, the least common multiple of 2 and 15 is 30.