Least Common Multiple of 214 and 218

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 218 the smallest integer that is 23326 that is divisible by both numbers.

Least Common Multiple (LCM) of 214 and 218 is 23326.

LCM(214,218) = 23326

LCM of 214 and 218

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

LCM of:
and

Least Common Multiple of 214 and 218

LCM of 214 and 218 is 23326

Least common multiple can be found by multiplying the highest exponent prime factors of 214 and 218. First we will calculate the prime factors of 214 and 218.

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 218


2 218
109 109
1

Prime factors of 218 are 2,109. Prime factorization of 218 in exponential form is:

218 = 21×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 214 and 218.

LCM(214,218) = 21×1071×1091
LCM(214,218) = 23326

Factors of 214

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

1, 2, 107, 214

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Least Common Multiple of 214 and 218 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 218, than apply into the LCM equation.

GCF(214,218) = 2
LCM(214,218) = ( 214 × 218) / 2
LCM(214,218) = 46652 / 2
LCM(214,218) = 23326

Properties of LCM 214 and 218

(i) The LCM of 218 and 214 is associative

LCM of 214 and 218 = LCM of 218 and 214

Related Least Common Multiples of 214

Related Least Common Multiples of 218

Frequently Asked Questions on LCM of 214 and 218

1. What is the LCM of 214 and 218?

Answer: LCM of 214 and 218 is 23326.

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 218?

Answer: Factors of 218 are 1, 2, 109, 218. There are 4 integers that are factors of 218. The greatest factor of 218 is 218.

4. How to Find the LCM of 214 and 218?

Answer:

Least Common Multiple of 214 and 218 = 23326

Step 1: Find the prime factorization of 214

214 = 2 x 107

Step 2: Find the prime factorization of 218

218 = 2 x 109

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

LCM = 23326 = 2 x 107 x 109

Step 4: Therefore, the least common multiple of 214 and 218 is 23326.