Least Common Multiple of 1226 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 1226 and 1227 the smallest integer that is 1504302 that is divisible by both numbers.

Least Common Multiple (LCM) of 1226 and 1227 is 1504302.

LCM(1226,1227) = 1504302

LCM of 1226 and 1227

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

LCM of:
and

Least Common Multiple of 1226 and 1227

LCM of 1226 and 1227 is 1504302

Least common multiple can be found by multiplying the highest exponent prime factors of 1226 and 1227. First we will calculate the prime factors of 1226 and 1227.

Prime Factorization of 1226


2 1226
613 613
1

Prime factors of 1226 are 2,613. Prime factorization of 1226 in exponential form is:

1226 = 21×6131

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 1226 and 1227.

LCM(1226,1227) = 21×31×4091×6131
LCM(1226,1227) = 1504302

Factors of 1226

List of positive integer factors of 1226 that divides 1226 without a remainder.

1, 2, 613, 1226

Factors of 1227

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

1, 3, 409, 1227

Least Common Multiple of 1226 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 1226 and 1227, than apply into the LCM equation.

GCF(1226,1227) = 1
LCM(1226,1227) = ( 1226 × 1227) / 1
LCM(1226,1227) = 1504302 / 1
LCM(1226,1227) = 1504302

Properties of LCM 1226 and 1227

(i) The LCM of 1227 and 1226 is associative

LCM of 1226 and 1227 = LCM of 1227 and 1226

Related Least Common Multiples of 1226

Related Least Common Multiples of 1227

Frequently Asked Questions on LCM of 1226 and 1227

1. What is the LCM of 1226 and 1227?

Answer: LCM of 1226 and 1227 is 1504302.

2. What are the Factors of 1226?

Answer: Factors of 1226 are 1, 2, 613, 1226. There are 4 integers that are factors of 1226. The greatest factor of 1226 is 1226.

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 1226 and 1227?

Answer:

Least Common Multiple of 1226 and 1227 = 1504302

Step 1: Find the prime factorization of 1226

1226 = 2 x 613

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 = 1504302 = 2 x 3 x 409 x 613

Step 4: Therefore, the least common multiple of 1226 and 1227 is 1504302.