Least Common Multiple of 211 and 217

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 217 the smallest integer that is 45787 that is divisible by both numbers.

Least Common Multiple (LCM) of 211 and 217 is 45787.

LCM(211,217) = 45787

LCM of 211 and 217

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

LCM of:
and

Least Common Multiple of 211 and 217

LCM of 211 and 217 is 45787

Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 217. First we will calculate the prime factors of 211 and 217.

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 217


7 217
31 31
1

Prime factors of 217 are 7,31. Prime factorization of 217 in exponential form is:

217 = 71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 211 and 217.

LCM(211,217) = 71×311×2111
LCM(211,217) = 45787

Factors of 211

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

1, 211

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Least Common Multiple of 211 and 217 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 217, than apply into the LCM equation.

GCF(211,217) = 1
LCM(211,217) = ( 211 × 217) / 1
LCM(211,217) = 45787 / 1
LCM(211,217) = 45787

Properties of LCM 211 and 217

(i) The LCM of 217 and 211 is associative

LCM of 211 and 217 = LCM of 217 and 211

Related Least Common Multiples of 211

Related Least Common Multiples of 217

Frequently Asked Questions on LCM of 211 and 217

1. What is the LCM of 211 and 217?

Answer: LCM of 211 and 217 is 45787.

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 217?

Answer: Factors of 217 are 1, 7, 31, 217. There are 4 integers that are factors of 217. The greatest factor of 217 is 217.

4. How to Find the LCM of 211 and 217?

Answer:

Least Common Multiple of 211 and 217 = 45787

Step 1: Find the prime factorization of 211

211 = 211

Step 2: Find the prime factorization of 217

217 = 7 x 31

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

LCM = 45787 = 7 x 31 x 211

Step 4: Therefore, the least common multiple of 211 and 217 is 45787.