Least Common Multiple of 1218 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 1218 and 1222 the smallest integer that is 744198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1218 and 1222 is 744198.

LCM(1218,1222) = 744198

LCM of 1218 and 1222

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

LCM of:
and

Least Common Multiple of 1218 and 1222

LCM of 1218 and 1222 is 744198

Least common multiple can be found by multiplying the highest exponent prime factors of 1218 and 1222. First we will calculate the prime factors of 1218 and 1222.

Prime Factorization of 1218


2 1218
3 609
7 203
29 29
1

Prime factors of 1218 are 2, 3, 7,29. Prime factorization of 1218 in exponential form is:

1218 = 21×31×71×291

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 1218 and 1222.

LCM(1218,1222) = 21×31×71×131×291×471
LCM(1218,1222) = 744198

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218

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 1218 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 1218 and 1222, than apply into the LCM equation.

GCF(1218,1222) = 2
LCM(1218,1222) = ( 1218 × 1222) / 2
LCM(1218,1222) = 1488396 / 2
LCM(1218,1222) = 744198

Properties of LCM 1218 and 1222

(i) The LCM of 1222 and 1218 is associative

LCM of 1218 and 1222 = LCM of 1222 and 1218

Related Least Common Multiples of 1218

Related Least Common Multiples of 1222

Frequently Asked Questions on LCM of 1218 and 1222

1. What is the LCM of 1218 and 1222?

Answer: LCM of 1218 and 1222 is 744198.

2. What are the Factors of 1218?

Answer: Factors of 1218 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218. There are 16 integers that are factors of 1218. The greatest factor of 1218 is 1218.

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 1218 and 1222?

Answer:

Least Common Multiple of 1218 and 1222 = 744198

Step 1: Find the prime factorization of 1218

1218 = 2 x 3 x 7 x 29

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 = 744198 = 2 x 3 x 7 x 13 x 29 x 47

Step 4: Therefore, the least common multiple of 1218 and 1222 is 744198.