Least Common Multiple of 1216 and 1222

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 1222 the smallest integer that is 742976 that is divisible by both numbers.

Least Common Multiple (LCM) of 1216 and 1222 is 742976.

LCM(1216,1222) = 742976

LCM of 1216 and 1222

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

LCM of:
and

Least Common Multiple of 1216 and 1222

LCM of 1216 and 1222 is 742976

Least common multiple can be found by multiplying the highest exponent prime factors of 1216 and 1222. First we will calculate the prime factors of 1216 and 1222.

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 1222


2 1222
13 611
47 47
1

Prime factors of 1222 are 2, 13,47. Prime factorization of 1222 in exponential form is:

1222 = 21×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1216 and 1222.

LCM(1216,1222) = 26×131×191×471
LCM(1216,1222) = 742976

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 1222

List of positive integer factors of 1222 that divides 1222 without a remainder.

1, 2, 13, 26, 47, 94, 611, 1222

Least Common Multiple of 1216 and 1222 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 1222, than apply into the LCM equation.

GCF(1216,1222) = 2
LCM(1216,1222) = ( 1216 × 1222) / 2
LCM(1216,1222) = 1485952 / 2
LCM(1216,1222) = 742976

Properties of LCM 1216 and 1222

(i) The LCM of 1222 and 1216 is associative

LCM of 1216 and 1222 = LCM of 1222 and 1216

Related Least Common Multiples of 1216

Related Least Common Multiples of 1222

Frequently Asked Questions on LCM of 1216 and 1222

1. What is the LCM of 1216 and 1222?

Answer: LCM of 1216 and 1222 is 742976.

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 1222?

Answer: Factors of 1222 are 1, 2, 13, 26, 47, 94, 611, 1222. There are 8 integers that are factors of 1222. The greatest factor of 1222 is 1222.

4. How to Find the LCM of 1216 and 1222?

Answer:

Least Common Multiple of 1216 and 1222 = 742976

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 1222

1222 = 2 x 13 x 47

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

LCM = 742976 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 19 x 47

Step 4: Therefore, the least common multiple of 1216 and 1222 is 742976.