Least Common Multiple of 1214 and 1215

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 1215 the smallest integer that is 1475010 that is divisible by both numbers.

Least Common Multiple (LCM) of 1214 and 1215 is 1475010.

LCM(1214,1215) = 1475010

LCM of 1214 and 1215

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

LCM of:
and

Least Common Multiple of 1214 and 1215

LCM of 1214 and 1215 is 1475010

Least common multiple can be found by multiplying the highest exponent prime factors of 1214 and 1215. First we will calculate the prime factors of 1214 and 1215.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1214 and 1215.

LCM(1214,1215) = 21×35×51×6071
LCM(1214,1215) = 1475010

Factors of 1214

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

1, 2, 607, 1214

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

Least Common Multiple of 1214 and 1215 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 1215, than apply into the LCM equation.

GCF(1214,1215) = 1
LCM(1214,1215) = ( 1214 × 1215) / 1
LCM(1214,1215) = 1475010 / 1
LCM(1214,1215) = 1475010

Properties of LCM 1214 and 1215

(i) The LCM of 1215 and 1214 is associative

LCM of 1214 and 1215 = LCM of 1215 and 1214

Related Least Common Multiples of 1214

Related Least Common Multiples of 1215

Frequently Asked Questions on LCM of 1214 and 1215

1. What is the LCM of 1214 and 1215?

Answer: LCM of 1214 and 1215 is 1475010.

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 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.

4. How to Find the LCM of 1214 and 1215?

Answer:

Least Common Multiple of 1214 and 1215 = 1475010

Step 1: Find the prime factorization of 1214

1214 = 2 x 607

Step 2: Find the prime factorization of 1215

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

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

LCM = 1475010 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 607

Step 4: Therefore, the least common multiple of 1214 and 1215 is 1475010.