Least Common Multiple of 1219 and 1223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1219 and 1223 the smallest integer that is 1490837 that is divisible by both numbers.

Least Common Multiple (LCM) of 1219 and 1223 is 1490837.

LCM(1219,1223) = 1490837

LCM of 1219 and 1223

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

LCM of:
and

Least Common Multiple of 1219 and 1223

LCM of 1219 and 1223 is 1490837

Least common multiple can be found by multiplying the highest exponent prime factors of 1219 and 1223. First we will calculate the prime factors of 1219 and 1223.

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

Prime Factorization of 1223


1223 1223
1

Prime factors of 1223 are 1223. Prime factorization of 1223 in exponential form is:

1223 = 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 1219 and 1223.

LCM(1219,1223) = 231×531×12231
LCM(1219,1223) = 1490837

Factors of 1219

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

1, 23, 53, 1219

Factors of 1223

List of positive integer factors of 1223 that divides 1223 without a remainder.

1, 1223

Least Common Multiple of 1219 and 1223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1219 and 1223, than apply into the LCM equation.

GCF(1219,1223) = 1
LCM(1219,1223) = ( 1219 × 1223) / 1
LCM(1219,1223) = 1490837 / 1
LCM(1219,1223) = 1490837

Properties of LCM 1219 and 1223

(i) The LCM of 1223 and 1219 is associative

LCM of 1219 and 1223 = LCM of 1223 and 1219

Related Least Common Multiples of 1219

Related Least Common Multiples of 1223

Frequently Asked Questions on LCM of 1219 and 1223

1. What is the LCM of 1219 and 1223?

Answer: LCM of 1219 and 1223 is 1490837.

2. 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.

3. What are the Factors of 1223?

Answer: Factors of 1223 are 1, 1223. There are 2 integers that are factors of 1223. The greatest factor of 1223 is 1223.

4. How to Find the LCM of 1219 and 1223?

Answer:

Least Common Multiple of 1219 and 1223 = 1490837

Step 1: Find the prime factorization of 1219

1219 = 23 x 53

Step 2: Find the prime factorization of 1223

1223 = 1223

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

LCM = 1490837 = 23 x 53 x 1223

Step 4: Therefore, the least common multiple of 1219 and 1223 is 1490837.