Least Common Multiple of 215 and 221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 215 and 221 the smallest integer that is 47515 that is divisible by both numbers.

Least Common Multiple (LCM) of 215 and 221 is 47515.

LCM(215,221) = 47515

LCM of 215 and 221

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

LCM of:
and

Least Common Multiple of 215 and 221

LCM of 215 and 221 is 47515

Least common multiple can be found by multiplying the highest exponent prime factors of 215 and 221. First we will calculate the prime factors of 215 and 221.

Prime Factorization of 215


5 215
43 43
1

Prime factors of 215 are 5,43. Prime factorization of 215 in exponential form is:

215 = 51×431

Prime Factorization of 221


13 221
17 17
1

Prime factors of 221 are 13,17. Prime factorization of 221 in exponential form is:

221 = 131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 215 and 221.

LCM(215,221) = 51×131×171×431
LCM(215,221) = 47515

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Least Common Multiple of 215 and 221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 215 and 221, than apply into the LCM equation.

GCF(215,221) = 1
LCM(215,221) = ( 215 × 221) / 1
LCM(215,221) = 47515 / 1
LCM(215,221) = 47515

Properties of LCM 215 and 221

(i) The LCM of 221 and 215 is associative

LCM of 215 and 221 = LCM of 221 and 215

Related Least Common Multiples of 215

Related Least Common Multiples of 221

Frequently Asked Questions on LCM of 215 and 221

1. What is the LCM of 215 and 221?

Answer: LCM of 215 and 221 is 47515.

2. What are the Factors of 215?

Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.

3. What are the Factors of 221?

Answer: Factors of 221 are 1, 13, 17, 221. There are 4 integers that are factors of 221. The greatest factor of 221 is 221.

4. How to Find the LCM of 215 and 221?

Answer:

Least Common Multiple of 215 and 221 = 47515

Step 1: Find the prime factorization of 215

215 = 5 x 43

Step 2: Find the prime factorization of 221

221 = 13 x 17

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

LCM = 47515 = 5 x 13 x 17 x 43

Step 4: Therefore, the least common multiple of 215 and 221 is 47515.