Least Common Multiple of 1221 and 1228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1221 and 1228 the smallest integer that is 1499388 that is divisible by both numbers.

Least Common Multiple (LCM) of 1221 and 1228 is 1499388.

LCM(1221,1228) = 1499388

LCM of 1221 and 1228

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

LCM of:
and

Least Common Multiple of 1221 and 1228

LCM of 1221 and 1228 is 1499388

Least common multiple can be found by multiplying the highest exponent prime factors of 1221 and 1228. First we will calculate the prime factors of 1221 and 1228.

Prime Factorization of 1221


3 1221
11 407
37 37
1

Prime factors of 1221 are 3, 11,37. Prime factorization of 1221 in exponential form is:

1221 = 31×111×371

Prime Factorization of 1228


2 1228
2 614
307 307
1

Prime factors of 1228 are 2,307. Prime factorization of 1228 in exponential form is:

1228 = 22×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 1221 and 1228.

LCM(1221,1228) = 22×31×111×371×3071
LCM(1221,1228) = 1499388

Factors of 1221

List of positive integer factors of 1221 that divides 1221 without a remainder.

1, 3, 11, 33, 37, 111, 407, 1221

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1, 2, 4, 307, 614, 1228

Least Common Multiple of 1221 and 1228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1221 and 1228, than apply into the LCM equation.

GCF(1221,1228) = 1
LCM(1221,1228) = ( 1221 × 1228) / 1
LCM(1221,1228) = 1499388 / 1
LCM(1221,1228) = 1499388

Properties of LCM 1221 and 1228

(i) The LCM of 1228 and 1221 is associative

LCM of 1221 and 1228 = LCM of 1228 and 1221

Related Least Common Multiples of 1221

Related Least Common Multiples of 1228

Frequently Asked Questions on LCM of 1221 and 1228

1. What is the LCM of 1221 and 1228?

Answer: LCM of 1221 and 1228 is 1499388.

2. What are the Factors of 1221?

Answer: Factors of 1221 are 1, 3, 11, 33, 37, 111, 407, 1221. There are 8 integers that are factors of 1221. The greatest factor of 1221 is 1221.

3. What are the Factors of 1228?

Answer: Factors of 1228 are 1, 2, 4, 307, 614, 1228. There are 6 integers that are factors of 1228. The greatest factor of 1228 is 1228.

4. How to Find the LCM of 1221 and 1228?

Answer:

Least Common Multiple of 1221 and 1228 = 1499388

Step 1: Find the prime factorization of 1221

1221 = 3 x 11 x 37

Step 2: Find the prime factorization of 1228

1228 = 2 x 2 x 307

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

LCM = 1499388 = 2 x 2 x 3 x 11 x 37 x 307

Step 4: Therefore, the least common multiple of 1221 and 1228 is 1499388.