Least Common Multiple of 211 and 212

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 212 the smallest integer that is 44732 that is divisible by both numbers.

Least Common Multiple (LCM) of 211 and 212 is 44732.

LCM(211,212) = 44732

LCM of 211 and 212

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

LCM of:
and

Least Common Multiple of 211 and 212

LCM of 211 and 212 is 44732

Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 212. First we will calculate the prime factors of 211 and 212.

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 212


2 212
2 106
53 53
1

Prime factors of 212 are 2,53. Prime factorization of 212 in exponential form is:

212 = 22×531

Now multiplying the highest exponent prime factors to calculate the LCM of 211 and 212.

LCM(211,212) = 22×531×2111
LCM(211,212) = 44732

Factors of 211

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

1, 211

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Least Common Multiple of 211 and 212 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 212, than apply into the LCM equation.

GCF(211,212) = 1
LCM(211,212) = ( 211 × 212) / 1
LCM(211,212) = 44732 / 1
LCM(211,212) = 44732

Properties of LCM 211 and 212

(i) The LCM of 212 and 211 is associative

LCM of 211 and 212 = LCM of 212 and 211

Related Least Common Multiples of 211

Related Least Common Multiples of 212

Frequently Asked Questions on LCM of 211 and 212

1. What is the LCM of 211 and 212?

Answer: LCM of 211 and 212 is 44732.

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 212?

Answer: Factors of 212 are 1, 2, 4, 53, 106, 212. There are 6 integers that are factors of 212. The greatest factor of 212 is 212.

4. How to Find the LCM of 211 and 212?

Answer:

Least Common Multiple of 211 and 212 = 44732

Step 1: Find the prime factorization of 211

211 = 211

Step 2: Find the prime factorization of 212

212 = 2 x 2 x 53

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

LCM = 44732 = 2 x 2 x 53 x 211

Step 4: Therefore, the least common multiple of 211 and 212 is 44732.