Least Common Multiple of 1214 and 1218

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 1218 the smallest integer that is 739326 that is divisible by both numbers.

Least Common Multiple (LCM) of 1214 and 1218 is 739326.

LCM(1214,1218) = 739326

LCM of 1214 and 1218

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

LCM of:
and

Least Common Multiple of 1214 and 1218

LCM of 1214 and 1218 is 739326

Least common multiple can be found by multiplying the highest exponent prime factors of 1214 and 1218. First we will calculate the prime factors of 1214 and 1218.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1214 and 1218.

LCM(1214,1218) = 21×31×71×291×6071
LCM(1214,1218) = 739326

Factors of 1214

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

1, 2, 607, 1214

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

Least Common Multiple of 1214 and 1218 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 1218, than apply into the LCM equation.

GCF(1214,1218) = 2
LCM(1214,1218) = ( 1214 × 1218) / 2
LCM(1214,1218) = 1478652 / 2
LCM(1214,1218) = 739326

Properties of LCM 1214 and 1218

(i) The LCM of 1218 and 1214 is associative

LCM of 1214 and 1218 = LCM of 1218 and 1214

Related Least Common Multiples of 1214

Related Least Common Multiples of 1218

Frequently Asked Questions on LCM of 1214 and 1218

1. What is the LCM of 1214 and 1218?

Answer: LCM of 1214 and 1218 is 739326.

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 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.

4. How to Find the LCM of 1214 and 1218?

Answer:

Least Common Multiple of 1214 and 1218 = 739326

Step 1: Find the prime factorization of 1214

1214 = 2 x 607

Step 2: Find the prime factorization of 1218

1218 = 2 x 3 x 7 x 29

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

LCM = 739326 = 2 x 3 x 7 x 29 x 607

Step 4: Therefore, the least common multiple of 1214 and 1218 is 739326.