Least Common Multiple of 211 and 219

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 219 the smallest integer that is 46209 that is divisible by both numbers.

Least Common Multiple (LCM) of 211 and 219 is 46209.

LCM(211,219) = 46209

LCM of 211 and 219

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

LCM of:
and

Least Common Multiple of 211 and 219

LCM of 211 and 219 is 46209

Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 219. First we will calculate the prime factors of 211 and 219.

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 219


3 219
73 73
1

Prime factors of 219 are 3,73. Prime factorization of 219 in exponential form is:

219 = 31×731

Now multiplying the highest exponent prime factors to calculate the LCM of 211 and 219.

LCM(211,219) = 31×731×2111
LCM(211,219) = 46209

Factors of 211

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

1, 211

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Least Common Multiple of 211 and 219 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 219, than apply into the LCM equation.

GCF(211,219) = 1
LCM(211,219) = ( 211 × 219) / 1
LCM(211,219) = 46209 / 1
LCM(211,219) = 46209

Properties of LCM 211 and 219

(i) The LCM of 219 and 211 is associative

LCM of 211 and 219 = LCM of 219 and 211

Related Least Common Multiples of 211

Related Least Common Multiples of 219

Frequently Asked Questions on LCM of 211 and 219

1. What is the LCM of 211 and 219?

Answer: LCM of 211 and 219 is 46209.

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 219?

Answer: Factors of 219 are 1, 3, 73, 219. There are 4 integers that are factors of 219. The greatest factor of 219 is 219.

4. How to Find the LCM of 211 and 219?

Answer:

Least Common Multiple of 211 and 219 = 46209

Step 1: Find the prime factorization of 211

211 = 211

Step 2: Find the prime factorization of 219

219 = 3 x 73

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

LCM = 46209 = 3 x 73 x 211

Step 4: Therefore, the least common multiple of 211 and 219 is 46209.