Least Common Multiple of 1216 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 1216 and 1223 the smallest integer that is 1487168 that is divisible by both numbers.

Least Common Multiple (LCM) of 1216 and 1223 is 1487168.

LCM(1216,1223) = 1487168

LCM of 1216 and 1223

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

LCM of:
and

Least Common Multiple of 1216 and 1223

LCM of 1216 and 1223 is 1487168

Least common multiple can be found by multiplying the highest exponent prime factors of 1216 and 1223. First we will calculate the prime factors of 1216 and 1223.

Prime Factorization of 1216


2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 1216 are 2,19. Prime factorization of 1216 in exponential form is:

1216 = 26×191

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 1216 and 1223.

LCM(1216,1223) = 26×191×12231
LCM(1216,1223) = 1487168

Factors of 1216

List of positive integer factors of 1216 that divides 1216 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216

Factors of 1223

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

1, 1223

Least Common Multiple of 1216 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 1216 and 1223, than apply into the LCM equation.

GCF(1216,1223) = 1
LCM(1216,1223) = ( 1216 × 1223) / 1
LCM(1216,1223) = 1487168 / 1
LCM(1216,1223) = 1487168

Properties of LCM 1216 and 1223

(i) The LCM of 1223 and 1216 is associative

LCM of 1216 and 1223 = LCM of 1223 and 1216

Related Least Common Multiples of 1216

Related Least Common Multiples of 1223

Frequently Asked Questions on LCM of 1216 and 1223

1. What is the LCM of 1216 and 1223?

Answer: LCM of 1216 and 1223 is 1487168.

2. What are the Factors of 1216?

Answer: Factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216. There are 14 integers that are factors of 1216. The greatest factor of 1216 is 1216.

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 1216 and 1223?

Answer:

Least Common Multiple of 1216 and 1223 = 1487168

Step 1: Find the prime factorization of 1216

1216 = 2 x 2 x 2 x 2 x 2 x 2 x 19

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 = 1487168 = 2 x 2 x 2 x 2 x 2 x 2 x 19 x 1223

Step 4: Therefore, the least common multiple of 1216 and 1223 is 1487168.