Least Common Multiple of 211 and 214

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 214 the smallest integer that is 45154 that is divisible by both numbers.

Least Common Multiple (LCM) of 211 and 214 is 45154.

LCM(211,214) = 45154

LCM of 211 and 214

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

LCM of:
and

Least Common Multiple of 211 and 214

LCM of 211 and 214 is 45154

Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 214. First we will calculate the prime factors of 211 and 214.

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 214


2 214
107 107
1

Prime factors of 214 are 2,107. Prime factorization of 214 in exponential form is:

214 = 21×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 211 and 214.

LCM(211,214) = 21×1071×2111
LCM(211,214) = 45154

Factors of 211

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

1, 211

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Least Common Multiple of 211 and 214 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 214, than apply into the LCM equation.

GCF(211,214) = 1
LCM(211,214) = ( 211 × 214) / 1
LCM(211,214) = 45154 / 1
LCM(211,214) = 45154

Properties of LCM 211 and 214

(i) The LCM of 214 and 211 is associative

LCM of 211 and 214 = LCM of 214 and 211

Related Least Common Multiples of 211

Related Least Common Multiples of 214

Frequently Asked Questions on LCM of 211 and 214

1. What is the LCM of 211 and 214?

Answer: LCM of 211 and 214 is 45154.

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 214?

Answer: Factors of 214 are 1, 2, 107, 214. There are 4 integers that are factors of 214. The greatest factor of 214 is 214.

4. How to Find the LCM of 211 and 214?

Answer:

Least Common Multiple of 211 and 214 = 45154

Step 1: Find the prime factorization of 211

211 = 211

Step 2: Find the prime factorization of 214

214 = 2 x 107

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

LCM = 45154 = 2 x 107 x 211

Step 4: Therefore, the least common multiple of 211 and 214 is 45154.