Least Common Multiple of 2214 and 2218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2214 and 2218 the smallest integer that is 2455326 that is divisible by both numbers.

Least Common Multiple (LCM) of 2214 and 2218 is 2455326.

LCM(2214,2218) = 2455326

LCM of 2214 and 2218

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

LCM of:
and

Least Common Multiple of 2214 and 2218

LCM of 2214 and 2218 is 2455326

Least common multiple can be found by multiplying the highest exponent prime factors of 2214 and 2218. First we will calculate the prime factors of 2214 and 2218.

Prime Factorization of 2214


2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 2214 are 2, 3,41. Prime factorization of 2214 in exponential form is:

2214 = 21×33×411

Prime Factorization of 2218


2 2218
1109 1109
1

Prime factors of 2218 are 2,1109. Prime factorization of 2218 in exponential form is:

2218 = 21×11091

Now multiplying the highest exponent prime factors to calculate the LCM of 2214 and 2218.

LCM(2214,2218) = 21×33×411×11091
LCM(2214,2218) = 2455326

Factors of 2214

List of positive integer factors of 2214 that divides 2214 without a remainder.

1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214

Factors of 2218

List of positive integer factors of 2218 that divides 2218 without a remainder.

1, 2, 1109, 2218

Least Common Multiple of 2214 and 2218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2214 and 2218, than apply into the LCM equation.

GCF(2214,2218) = 2
LCM(2214,2218) = ( 2214 × 2218) / 2
LCM(2214,2218) = 4910652 / 2
LCM(2214,2218) = 2455326

Properties of LCM 2214 and 2218

(i) The LCM of 2218 and 2214 is associative

LCM of 2214 and 2218 = LCM of 2218 and 2214

Related Least Common Multiples of 2214

Related Least Common Multiples of 2218

Frequently Asked Questions on LCM of 2214 and 2218

1. What is the LCM of 2214 and 2218?

Answer: LCM of 2214 and 2218 is 2455326.

2. What are the Factors of 2214?

Answer: Factors of 2214 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214. There are 16 integers that are factors of 2214. The greatest factor of 2214 is 2214.

3. What are the Factors of 2218?

Answer: Factors of 2218 are 1, 2, 1109, 2218. There are 4 integers that are factors of 2218. The greatest factor of 2218 is 2218.

4. How to Find the LCM of 2214 and 2218?

Answer:

Least Common Multiple of 2214 and 2218 = 2455326

Step 1: Find the prime factorization of 2214

2214 = 2 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 2218

2218 = 2 x 1109

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

LCM = 2455326 = 2 x 3 x 3 x 3 x 41 x 1109

Step 4: Therefore, the least common multiple of 2214 and 2218 is 2455326.