Least Common Multiple of 1223 and 1227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1223 and 1227 the smallest integer that is 1500621 that is divisible by both numbers.

Least Common Multiple (LCM) of 1223 and 1227 is 1500621.

LCM(1223,1227) = 1500621

LCM of 1223 and 1227

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

LCM of:
and

Least Common Multiple of 1223 and 1227

LCM of 1223 and 1227 is 1500621

Least common multiple can be found by multiplying the highest exponent prime factors of 1223 and 1227. First we will calculate the prime factors of 1223 and 1227.

Prime Factorization of 1223


1223 1223
1

Prime factors of 1223 are 1223. Prime factorization of 1223 in exponential form is:

1223 = 12231

Prime Factorization of 1227


3 1227
409 409
1

Prime factors of 1227 are 3,409. Prime factorization of 1227 in exponential form is:

1227 = 31×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 1223 and 1227.

LCM(1223,1227) = 31×4091×12231
LCM(1223,1227) = 1500621

Factors of 1223

List of positive integer factors of 1223 that divides 1223 without a remainder.

1, 1223

Factors of 1227

List of positive integer factors of 1227 that divides 1227 without a remainder.

1, 3, 409, 1227

Least Common Multiple of 1223 and 1227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1223 and 1227, than apply into the LCM equation.

GCF(1223,1227) = 1
LCM(1223,1227) = ( 1223 × 1227) / 1
LCM(1223,1227) = 1500621 / 1
LCM(1223,1227) = 1500621

Properties of LCM 1223 and 1227

(i) The LCM of 1227 and 1223 is associative

LCM of 1223 and 1227 = LCM of 1227 and 1223

Related Least Common Multiples of 1223

Related Least Common Multiples of 1227

Frequently Asked Questions on LCM of 1223 and 1227

1. What is the LCM of 1223 and 1227?

Answer: LCM of 1223 and 1227 is 1500621.

2. What are the Factors of 1223?

Answer: Factors of 1223 are 1, 1223. There are 2 integers that are factors of 1223. The greatest factor of 1223 is 1223.

3. What are the Factors of 1227?

Answer: Factors of 1227 are 1, 3, 409, 1227. There are 4 integers that are factors of 1227. The greatest factor of 1227 is 1227.

4. How to Find the LCM of 1223 and 1227?

Answer:

Least Common Multiple of 1223 and 1227 = 1500621

Step 1: Find the prime factorization of 1223

1223 = 1223

Step 2: Find the prime factorization of 1227

1227 = 3 x 409

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

LCM = 1500621 = 3 x 409 x 1223

Step 4: Therefore, the least common multiple of 1223 and 1227 is 1500621.