Least Common Multiple of 219 and 227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 219 and 227 the smallest integer that is 49713 that is divisible by both numbers.

Least Common Multiple (LCM) of 219 and 227 is 49713.

LCM(219,227) = 49713

LCM of 219 and 227

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

LCM of:
and

Least Common Multiple of 219 and 227

LCM of 219 and 227 is 49713

Least common multiple can be found by multiplying the highest exponent prime factors of 219 and 227. First we will calculate the prime factors of 219 and 227.

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

Prime Factorization of 227


227 227
1

Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:

227 = 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 219 and 227.

LCM(219,227) = 31×731×2271
LCM(219,227) = 49713

Factors of 219

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

1, 3, 73, 219

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1, 227

Least Common Multiple of 219 and 227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 219 and 227, than apply into the LCM equation.

GCF(219,227) = 1
LCM(219,227) = ( 219 × 227) / 1
LCM(219,227) = 49713 / 1
LCM(219,227) = 49713

Properties of LCM 219 and 227

(i) The LCM of 227 and 219 is associative

LCM of 219 and 227 = LCM of 227 and 219

Related Least Common Multiples of 219

Related Least Common Multiples of 227

Frequently Asked Questions on LCM of 219 and 227

1. What is the LCM of 219 and 227?

Answer: LCM of 219 and 227 is 49713.

2. 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.

3. What are the Factors of 227?

Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.

4. How to Find the LCM of 219 and 227?

Answer:

Least Common Multiple of 219 and 227 = 49713

Step 1: Find the prime factorization of 219

219 = 3 x 73

Step 2: Find the prime factorization of 227

227 = 227

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

LCM = 49713 = 3 x 73 x 227

Step 4: Therefore, the least common multiple of 219 and 227 is 49713.