Least Common Multiple of 1214 and 1219

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 1219 the smallest integer that is 1479866 that is divisible by both numbers.

Least Common Multiple (LCM) of 1214 and 1219 is 1479866.

LCM(1214,1219) = 1479866

LCM of 1214 and 1219

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

LCM of:
and

Least Common Multiple of 1214 and 1219

LCM of 1214 and 1219 is 1479866

Least common multiple can be found by multiplying the highest exponent prime factors of 1214 and 1219. First we will calculate the prime factors of 1214 and 1219.

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 1219


23 1219
53 53
1

Prime factors of 1219 are 23,53. Prime factorization of 1219 in exponential form is:

1219 = 231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1214 and 1219.

LCM(1214,1219) = 21×231×531×6071
LCM(1214,1219) = 1479866

Factors of 1214

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

1, 2, 607, 1214

Factors of 1219

List of positive integer factors of 1219 that divides 1219 without a remainder.

1, 23, 53, 1219

Least Common Multiple of 1214 and 1219 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 1219, than apply into the LCM equation.

GCF(1214,1219) = 1
LCM(1214,1219) = ( 1214 × 1219) / 1
LCM(1214,1219) = 1479866 / 1
LCM(1214,1219) = 1479866

Properties of LCM 1214 and 1219

(i) The LCM of 1219 and 1214 is associative

LCM of 1214 and 1219 = LCM of 1219 and 1214

Related Least Common Multiples of 1214

Related Least Common Multiples of 1219

Frequently Asked Questions on LCM of 1214 and 1219

1. What is the LCM of 1214 and 1219?

Answer: LCM of 1214 and 1219 is 1479866.

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 1219?

Answer: Factors of 1219 are 1, 23, 53, 1219. There are 4 integers that are factors of 1219. The greatest factor of 1219 is 1219.

4. How to Find the LCM of 1214 and 1219?

Answer:

Least Common Multiple of 1214 and 1219 = 1479866

Step 1: Find the prime factorization of 1214

1214 = 2 x 607

Step 2: Find the prime factorization of 1219

1219 = 23 x 53

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

LCM = 1479866 = 2 x 23 x 53 x 607

Step 4: Therefore, the least common multiple of 1214 and 1219 is 1479866.