Least Common Multiple of 1215 and 1223

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 1223 the smallest integer that is 1485945 that is divisible by both numbers.

Least Common Multiple (LCM) of 1215 and 1223 is 1485945.

LCM(1215,1223) = 1485945

LCM of 1215 and 1223

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

LCM of:
and

Least Common Multiple of 1215 and 1223

LCM of 1215 and 1223 is 1485945

Least common multiple can be found by multiplying the highest exponent prime factors of 1215 and 1223. First we will calculate the prime factors of 1215 and 1223.

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 1223


1223 1223
1

Prime factors of 1223 are 1223. Prime factorization of 1223 in exponential form is:

1223 = 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 1215 and 1223.

LCM(1215,1223) = 35×51×12231
LCM(1215,1223) = 1485945

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 1223

List of positive integer factors of 1223 that divides 1223 without a remainder.

1, 1223

Least Common Multiple of 1215 and 1223 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 1223, than apply into the LCM equation.

GCF(1215,1223) = 1
LCM(1215,1223) = ( 1215 × 1223) / 1
LCM(1215,1223) = 1485945 / 1
LCM(1215,1223) = 1485945

Properties of LCM 1215 and 1223

(i) The LCM of 1223 and 1215 is associative

LCM of 1215 and 1223 = LCM of 1223 and 1215

Related Least Common Multiples of 1215

Related Least Common Multiples of 1223

Frequently Asked Questions on LCM of 1215 and 1223

1. What is the LCM of 1215 and 1223?

Answer: LCM of 1215 and 1223 is 1485945.

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 1223?

Answer: Factors of 1223 are 1, 1223. There are 2 integers that are factors of 1223. The greatest factor of 1223 is 1223.

4. How to Find the LCM of 1215 and 1223?

Answer:

Least Common Multiple of 1215 and 1223 = 1485945

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 1223

1223 = 1223

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

LCM = 1485945 = 3 x 3 x 3 x 3 x 3 x 5 x 1223

Step 4: Therefore, the least common multiple of 1215 and 1223 is 1485945.