Least Common Multiple of 1214 and 1221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1214 and 1221 the smallest integer that is 1482294 that is divisible by both numbers.

Least Common Multiple (LCM) of 1214 and 1221 is 1482294.

LCM(1214,1221) = 1482294

LCM of 1214 and 1221

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

LCM of:
and

Least Common Multiple of 1214 and 1221

LCM of 1214 and 1221 is 1482294

Least common multiple can be found by multiplying the highest exponent prime factors of 1214 and 1221. First we will calculate the prime factors of 1214 and 1221.

Prime Factorization of 1214


2 1214
607 607
1

Prime factors of 1214 are 2,607. Prime factorization of 1214 in exponential form is:

1214 = 21×6071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1214 and 1221.

LCM(1214,1221) = 21×31×111×371×6071
LCM(1214,1221) = 1482294

Factors of 1214

List of positive integer factors of 1214 that divides 1214 without a remainder.

1, 2, 607, 1214

Factors of 1221

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

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

Least Common Multiple of 1214 and 1221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1214 and 1221, than apply into the LCM equation.

GCF(1214,1221) = 1
LCM(1214,1221) = ( 1214 × 1221) / 1
LCM(1214,1221) = 1482294 / 1
LCM(1214,1221) = 1482294

Properties of LCM 1214 and 1221

(i) The LCM of 1221 and 1214 is associative

LCM of 1214 and 1221 = LCM of 1221 and 1214

Related Least Common Multiples of 1214

Related Least Common Multiples of 1221

Frequently Asked Questions on LCM of 1214 and 1221

1. What is the LCM of 1214 and 1221?

Answer: LCM of 1214 and 1221 is 1482294.

2. What are the Factors of 1214?

Answer: Factors of 1214 are 1, 2, 607, 1214. There are 4 integers that are factors of 1214. The greatest factor of 1214 is 1214.

3. 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.

4. How to Find the LCM of 1214 and 1221?

Answer:

Least Common Multiple of 1214 and 1221 = 1482294

Step 1: Find the prime factorization of 1214

1214 = 2 x 607

Step 2: Find the prime factorization of 1221

1221 = 3 x 11 x 37

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

LCM = 1482294 = 2 x 3 x 11 x 37 x 607

Step 4: Therefore, the least common multiple of 1214 and 1221 is 1482294.