Least Common Multiple of 1213 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 1213 and 1221 the smallest integer that is 1481073 that is divisible by both numbers.

Least Common Multiple (LCM) of 1213 and 1221 is 1481073.

LCM(1213,1221) = 1481073

LCM of 1213 and 1221

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

LCM of:
and

Least Common Multiple of 1213 and 1221

LCM of 1213 and 1221 is 1481073

Least common multiple can be found by multiplying the highest exponent prime factors of 1213 and 1221. First we will calculate the prime factors of 1213 and 1221.

Prime Factorization of 1213


1213 1213
1

Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:

1213 = 12131

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 1213 and 1221.

LCM(1213,1221) = 31×111×371×12131
LCM(1213,1221) = 1481073

Factors of 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1, 1213

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 1213 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 1213 and 1221, than apply into the LCM equation.

GCF(1213,1221) = 1
LCM(1213,1221) = ( 1213 × 1221) / 1
LCM(1213,1221) = 1481073 / 1
LCM(1213,1221) = 1481073

Properties of LCM 1213 and 1221

(i) The LCM of 1221 and 1213 is associative

LCM of 1213 and 1221 = LCM of 1221 and 1213

Related Least Common Multiples of 1213

Related Least Common Multiples of 1221

Frequently Asked Questions on LCM of 1213 and 1221

1. What is the LCM of 1213 and 1221?

Answer: LCM of 1213 and 1221 is 1481073.

2. What are the Factors of 1213?

Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.

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 1213 and 1221?

Answer:

Least Common Multiple of 1213 and 1221 = 1481073

Step 1: Find the prime factorization of 1213

1213 = 1213

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 = 1481073 = 3 x 11 x 37 x 1213

Step 4: Therefore, the least common multiple of 1213 and 1221 is 1481073.