Least Common Multiple of 7219 and 7223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7219 and 7223 the smallest integer that is 52142837 that is divisible by both numbers.

Least Common Multiple (LCM) of 7219 and 7223 is 52142837.

LCM(7219,7223) = 52142837

LCM of 7219 and 7223

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

LCM of:
and

Least Common Multiple of 7219 and 7223

LCM of 7219 and 7223 is 52142837

Least common multiple can be found by multiplying the highest exponent prime factors of 7219 and 7223. First we will calculate the prime factors of 7219 and 7223.

Prime Factorization of 7219


7219 7219
1

Prime factors of 7219 are 7219. Prime factorization of 7219 in exponential form is:

7219 = 72191

Prime Factorization of 7223


31 7223
233 233
1

Prime factors of 7223 are 31,233. Prime factorization of 7223 in exponential form is:

7223 = 311×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 7219 and 7223.

LCM(7219,7223) = 311×2331×72191
LCM(7219,7223) = 52142837

Factors of 7219

List of positive integer factors of 7219 that divides 7219 without a remainder.

1, 7219

Factors of 7223

List of positive integer factors of 7223 that divides 7223 without a remainder.

1, 31, 233, 7223

Least Common Multiple of 7219 and 7223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7219 and 7223, than apply into the LCM equation.

GCF(7219,7223) = 1
LCM(7219,7223) = ( 7219 × 7223) / 1
LCM(7219,7223) = 52142837 / 1
LCM(7219,7223) = 52142837

Properties of LCM 7219 and 7223

(i) The LCM of 7223 and 7219 is associative

LCM of 7219 and 7223 = LCM of 7223 and 7219

Related Least Common Multiples of 7219

Related Least Common Multiples of 7223

Frequently Asked Questions on LCM of 7219 and 7223

1. What is the LCM of 7219 and 7223?

Answer: LCM of 7219 and 7223 is 52142837.

2. What are the Factors of 7219?

Answer: Factors of 7219 are 1, 7219. There are 2 integers that are factors of 7219. The greatest factor of 7219 is 7219.

3. What are the Factors of 7223?

Answer: Factors of 7223 are 1, 31, 233, 7223. There are 4 integers that are factors of 7223. The greatest factor of 7223 is 7223.

4. How to Find the LCM of 7219 and 7223?

Answer:

Least Common Multiple of 7219 and 7223 = 52142837

Step 1: Find the prime factorization of 7219

7219 = 7219

Step 2: Find the prime factorization of 7223

7223 = 31 x 233

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

LCM = 52142837 = 31 x 233 x 7219

Step 4: Therefore, the least common multiple of 7219 and 7223 is 52142837.