Least Common Multiple of 211 and 213

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 213 the smallest integer that is 44943 that is divisible by both numbers.

Least Common Multiple (LCM) of 211 and 213 is 44943.

LCM(211,213) = 44943

LCM of 211 and 213

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

LCM of:
and

Least Common Multiple of 211 and 213

LCM of 211 and 213 is 44943

Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 213. First we will calculate the prime factors of 211 and 213.

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 213


3 213
71 71
1

Prime factors of 213 are 3,71. Prime factorization of 213 in exponential form is:

213 = 31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 211 and 213.

LCM(211,213) = 31×711×2111
LCM(211,213) = 44943

Factors of 211

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

1, 211

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Least Common Multiple of 211 and 213 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 213, than apply into the LCM equation.

GCF(211,213) = 1
LCM(211,213) = ( 211 × 213) / 1
LCM(211,213) = 44943 / 1
LCM(211,213) = 44943

Properties of LCM 211 and 213

(i) The LCM of 213 and 211 is associative

LCM of 211 and 213 = LCM of 213 and 211

Related Least Common Multiples of 211

Related Least Common Multiples of 213

Frequently Asked Questions on LCM of 211 and 213

1. What is the LCM of 211 and 213?

Answer: LCM of 211 and 213 is 44943.

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 213?

Answer: Factors of 213 are 1, 3, 71, 213. There are 4 integers that are factors of 213. The greatest factor of 213 is 213.

4. How to Find the LCM of 211 and 213?

Answer:

Least Common Multiple of 211 and 213 = 44943

Step 1: Find the prime factorization of 211

211 = 211

Step 2: Find the prime factorization of 213

213 = 3 x 71

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

LCM = 44943 = 3 x 71 x 211

Step 4: Therefore, the least common multiple of 211 and 213 is 44943.