Least Common Multiple of 1214 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 1214 and 1222 the smallest integer that is 741754 that is divisible by both numbers.

Least Common Multiple (LCM) of 1214 and 1222 is 741754.

LCM(1214,1222) = 741754

LCM of 1214 and 1222

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

LCM of:
and

Least Common Multiple of 1214 and 1222

LCM of 1214 and 1222 is 741754

Least common multiple can be found by multiplying the highest exponent prime factors of 1214 and 1222. First we will calculate the prime factors of 1214 and 1222.

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 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 1214 and 1222.

LCM(1214,1222) = 21×131×471×6071
LCM(1214,1222) = 741754

Factors of 1214

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

1, 2, 607, 1214

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 1214 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 1214 and 1222, than apply into the LCM equation.

GCF(1214,1222) = 2
LCM(1214,1222) = ( 1214 × 1222) / 2
LCM(1214,1222) = 1483508 / 2
LCM(1214,1222) = 741754

Properties of LCM 1214 and 1222

(i) The LCM of 1222 and 1214 is associative

LCM of 1214 and 1222 = LCM of 1222 and 1214

Related Least Common Multiples of 1214

Related Least Common Multiples of 1222

Frequently Asked Questions on LCM of 1214 and 1222

1. What is the LCM of 1214 and 1222?

Answer: LCM of 1214 and 1222 is 741754.

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 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 1214 and 1222?

Answer:

Least Common Multiple of 1214 and 1222 = 741754

Step 1: Find the prime factorization of 1214

1214 = 2 x 607

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 = 741754 = 2 x 13 x 47 x 607

Step 4: Therefore, the least common multiple of 1214 and 1222 is 741754.