Least Common Multiple of 15214 and 15218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15214 and 15218 the smallest integer that is 115763326 that is divisible by both numbers.

Least Common Multiple (LCM) of 15214 and 15218 is 115763326.

LCM(15214,15218) = 115763326

LCM of 15214 and 15218

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

LCM of:
and

Least Common Multiple of 15214 and 15218

LCM of 15214 and 15218 is 115763326

Least common multiple can be found by multiplying the highest exponent prime factors of 15214 and 15218. First we will calculate the prime factors of 15214 and 15218.

Prime Factorization of 15214


2 15214
7607 7607
1

Prime factors of 15214 are 2,7607. Prime factorization of 15214 in exponential form is:

15214 = 21×76071

Prime Factorization of 15218


2 15218
7 7609
1087 1087
1

Prime factors of 15218 are 2, 7,1087. Prime factorization of 15218 in exponential form is:

15218 = 21×71×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 15214 and 15218.

LCM(15214,15218) = 21×71×10871×76071
LCM(15214,15218) = 115763326

Factors of 15214

List of positive integer factors of 15214 that divides 15214 without a remainder.

1, 2, 7607, 15214

Factors of 15218

List of positive integer factors of 15218 that divides 15218 without a remainder.

1, 2, 7, 14, 1087, 2174, 7609, 15218

Least Common Multiple of 15214 and 15218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15214 and 15218, than apply into the LCM equation.

GCF(15214,15218) = 2
LCM(15214,15218) = ( 15214 × 15218) / 2
LCM(15214,15218) = 231526652 / 2
LCM(15214,15218) = 115763326

Properties of LCM 15214 and 15218

(i) The LCM of 15218 and 15214 is associative

LCM of 15214 and 15218 = LCM of 15218 and 15214

Related Least Common Multiples of 15214

Related Least Common Multiples of 15218

Frequently Asked Questions on LCM of 15214 and 15218

1. What is the LCM of 15214 and 15218?

Answer: LCM of 15214 and 15218 is 115763326.

2. What are the Factors of 15214?

Answer: Factors of 15214 are 1, 2, 7607, 15214. There are 4 integers that are factors of 15214. The greatest factor of 15214 is 15214.

3. What are the Factors of 15218?

Answer: Factors of 15218 are 1, 2, 7, 14, 1087, 2174, 7609, 15218. There are 8 integers that are factors of 15218. The greatest factor of 15218 is 15218.

4. How to Find the LCM of 15214 and 15218?

Answer:

Least Common Multiple of 15214 and 15218 = 115763326

Step 1: Find the prime factorization of 15214

15214 = 2 x 7607

Step 2: Find the prime factorization of 15218

15218 = 2 x 7 x 1087

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

LCM = 115763326 = 2 x 7 x 1087 x 7607

Step 4: Therefore, the least common multiple of 15214 and 15218 is 115763326.