Least Common Multiple of 1213 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 1213 and 1219 the smallest integer that is 1478647 that is divisible by both numbers.

Least Common Multiple (LCM) of 1213 and 1219 is 1478647.

LCM(1213,1219) = 1478647

LCM of 1213 and 1219

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

LCM of:
and

Least Common Multiple of 1213 and 1219

LCM of 1213 and 1219 is 1478647

Least common multiple can be found by multiplying the highest exponent prime factors of 1213 and 1219. First we will calculate the prime factors of 1213 and 1219.

Prime Factorization of 1213


1213 1213
1

Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:

1213 = 12131

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 1213 and 1219.

LCM(1213,1219) = 231×531×12131
LCM(1213,1219) = 1478647

Factors of 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1, 1213

Factors of 1219

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

1, 23, 53, 1219

Least Common Multiple of 1213 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 1213 and 1219, than apply into the LCM equation.

GCF(1213,1219) = 1
LCM(1213,1219) = ( 1213 × 1219) / 1
LCM(1213,1219) = 1478647 / 1
LCM(1213,1219) = 1478647

Properties of LCM 1213 and 1219

(i) The LCM of 1219 and 1213 is associative

LCM of 1213 and 1219 = LCM of 1219 and 1213

Related Least Common Multiples of 1213

Related Least Common Multiples of 1219

Frequently Asked Questions on LCM of 1213 and 1219

1. What is the LCM of 1213 and 1219?

Answer: LCM of 1213 and 1219 is 1478647.

2. What are the Factors of 1213?

Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.

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 1213 and 1219?

Answer:

Least Common Multiple of 1213 and 1219 = 1478647

Step 1: Find the prime factorization of 1213

1213 = 1213

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 = 1478647 = 23 x 53 x 1213

Step 4: Therefore, the least common multiple of 1213 and 1219 is 1478647.