Least Common Multiple of 214 and 215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 214 and 215 the smallest integer that is 46010 that is divisible by both numbers.

Least Common Multiple (LCM) of 214 and 215 is 46010.

LCM(214,215) = 46010

LCM of 214 and 215

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

LCM of:
and

Least Common Multiple of 214 and 215

LCM of 214 and 215 is 46010

Least common multiple can be found by multiplying the highest exponent prime factors of 214 and 215. First we will calculate the prime factors of 214 and 215.

Prime Factorization of 214


2 214
107 107
1

Prime factors of 214 are 2,107. Prime factorization of 214 in exponential form is:

214 = 21×1071

Prime Factorization of 215


5 215
43 43
1

Prime factors of 215 are 5,43. Prime factorization of 215 in exponential form is:

215 = 51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 214 and 215.

LCM(214,215) = 21×51×431×1071
LCM(214,215) = 46010

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Least Common Multiple of 214 and 215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 214 and 215, than apply into the LCM equation.

GCF(214,215) = 1
LCM(214,215) = ( 214 × 215) / 1
LCM(214,215) = 46010 / 1
LCM(214,215) = 46010

Properties of LCM 214 and 215

(i) The LCM of 215 and 214 is associative

LCM of 214 and 215 = LCM of 215 and 214

Related Least Common Multiples of 214

Related Least Common Multiples of 215

Frequently Asked Questions on LCM of 214 and 215

1. What is the LCM of 214 and 215?

Answer: LCM of 214 and 215 is 46010.

2. What are the Factors of 214?

Answer: Factors of 214 are 1, 2, 107, 214. There are 4 integers that are factors of 214. The greatest factor of 214 is 214.

3. What are the Factors of 215?

Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.

4. How to Find the LCM of 214 and 215?

Answer:

Least Common Multiple of 214 and 215 = 46010

Step 1: Find the prime factorization of 214

214 = 2 x 107

Step 2: Find the prime factorization of 215

215 = 5 x 43

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

LCM = 46010 = 2 x 5 x 43 x 107

Step 4: Therefore, the least common multiple of 214 and 215 is 46010.