Least Common Multiple of 211 and 215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 211 and 215 the smallest integer that is 45365 that is divisible by both numbers.

Least Common Multiple (LCM) of 211 and 215 is 45365.

LCM(211,215) = 45365

LCM of 211 and 215

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

LCM of:
and

Least Common Multiple of 211 and 215

LCM of 211 and 215 is 45365

Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 215. First we will calculate the prime factors of 211 and 215.

Prime Factorization of 211


211 211
1

Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:

211 = 2111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 211 and 215.

LCM(211,215) = 51×431×2111
LCM(211,215) = 45365

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1, 211

Factors of 215

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

1, 5, 43, 215

Least Common Multiple of 211 and 215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 211 and 215, than apply into the LCM equation.

GCF(211,215) = 1
LCM(211,215) = ( 211 × 215) / 1
LCM(211,215) = 45365 / 1
LCM(211,215) = 45365

Properties of LCM 211 and 215

(i) The LCM of 215 and 211 is associative

LCM of 211 and 215 = LCM of 215 and 211

Related Least Common Multiples of 211

Related Least Common Multiples of 215

Frequently Asked Questions on LCM of 211 and 215

1. What is the LCM of 211 and 215?

Answer: LCM of 211 and 215 is 45365.

2. What are the Factors of 211?

Answer: Factors of 211 are 1, 211. There are 2 integers that are factors of 211. The greatest factor of 211 is 211.

3. 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.

4. How to Find the LCM of 211 and 215?

Answer:

Least Common Multiple of 211 and 215 = 45365

Step 1: Find the prime factorization of 211

211 = 211

Step 2: Find the prime factorization of 215

215 = 5 x 43

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

LCM = 45365 = 5 x 43 x 211

Step 4: Therefore, the least common multiple of 211 and 215 is 45365.