Least Common Multiple of 15 and 29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 15 and 29 the smallest integer that is 435 that is divisible by both numbers.

Least Common Multiple (LCM) of 15 and 29 is 435.

LCM(15,29) = 435

LCM of 15 and 29

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

LCM of:
and

Least Common Multiple of 15 and 29

LCM of 15 and 29 is 435

Least common multiple can be found by multiplying the highest exponent prime factors of 15 and 29. First we will calculate the prime factors of 15 and 29.

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

Prime Factorization of 29


29 29
1

Prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 291

Now multiplying the highest exponent prime factors to calculate the LCM of 15 and 29.

LCM(15,29) = 31×51×291
LCM(15,29) = 435

Factors of 15

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

1, 3, 5, 15

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1, 29

Least Common Multiple of 15 and 29 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15 and 29, than apply into the LCM equation.

GCF(15,29) = 1
LCM(15,29) = ( 15 × 29) / 1
LCM(15,29) = 435 / 1
LCM(15,29) = 435

Properties of LCM 15 and 29

(i) The LCM of 29 and 15 is associative

LCM of 15 and 29 = LCM of 29 and 15

Frequently Asked Questions on LCM of 15 and 29

1. What is the LCM of 15 and 29?

Answer: LCM of 15 and 29 is 435.

2. 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.

3. What are the Factors of 29?

Answer: Factors of 29 are 1, 29. There are 2 integers that are factors of 29. The greatest factor of 29 is 29.

4. How to Find the LCM of 15 and 29?

Answer:

Least Common Multiple of 15 and 29 = 435

Step 1: Find the prime factorization of 15

15 = 3 x 5

Step 2: Find the prime factorization of 29

29 = 29

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

LCM = 435 = 3 x 5 x 29

Step 4: Therefore, the least common multiple of 15 and 29 is 435.