Least Common Multiple of 1215 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 1215 and 1221 the smallest integer that is 494505 that is divisible by both numbers.

Least Common Multiple (LCM) of 1215 and 1221 is 494505.

LCM(1215,1221) = 494505

LCM of 1215 and 1221

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

LCM of:
and

Least Common Multiple of 1215 and 1221

LCM of 1215 and 1221 is 494505

Least common multiple can be found by multiplying the highest exponent prime factors of 1215 and 1221. First we will calculate the prime factors of 1215 and 1221.

Prime Factorization of 1215


3 1215
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 1215 are 3,5. Prime factorization of 1215 in exponential form is:

1215 = 35×51

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 1215 and 1221.

LCM(1215,1221) = 35×51×111×371
LCM(1215,1221) = 494505

Factors of 1215

List of positive integer factors of 1215 that divides 1215 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215

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 1215 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 1215 and 1221, than apply into the LCM equation.

GCF(1215,1221) = 3
LCM(1215,1221) = ( 1215 × 1221) / 3
LCM(1215,1221) = 1483515 / 3
LCM(1215,1221) = 494505

Properties of LCM 1215 and 1221

(i) The LCM of 1221 and 1215 is associative

LCM of 1215 and 1221 = LCM of 1221 and 1215

Related Least Common Multiples of 1215

Related Least Common Multiples of 1221

Frequently Asked Questions on LCM of 1215 and 1221

1. What is the LCM of 1215 and 1221?

Answer: LCM of 1215 and 1221 is 494505.

2. What are the Factors of 1215?

Answer: Factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215. There are 12 integers that are factors of 1215. The greatest factor of 1215 is 1215.

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 1215 and 1221?

Answer:

Least Common Multiple of 1215 and 1221 = 494505

Step 1: Find the prime factorization of 1215

1215 = 3 x 3 x 3 x 3 x 3 x 5

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 = 494505 = 3 x 3 x 3 x 3 x 3 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 1215 and 1221 is 494505.