Least Common Multiple of 2209 and 2214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2209 and 2214 the smallest integer that is 4890726 that is divisible by both numbers.

Least Common Multiple (LCM) of 2209 and 2214 is 4890726.

LCM(2209,2214) = 4890726

LCM of 2209 and 2214

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

LCM of:
and

Least Common Multiple of 2209 and 2214

LCM of 2209 and 2214 is 4890726

Least common multiple can be found by multiplying the highest exponent prime factors of 2209 and 2214. First we will calculate the prime factors of 2209 and 2214.

Prime Factorization of 2209


47 2209
47 47
1

Prime factors of 2209 are 47. Prime factorization of 2209 in exponential form is:

2209 = 472

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2209 and 2214.

LCM(2209,2214) = 21×33×411×472
LCM(2209,2214) = 4890726

Factors of 2209

List of positive integer factors of 2209 that divides 2209 without a remainder.

1, 47, 2209

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

Least Common Multiple of 2209 and 2214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2209 and 2214, than apply into the LCM equation.

GCF(2209,2214) = 1
LCM(2209,2214) = ( 2209 × 2214) / 1
LCM(2209,2214) = 4890726 / 1
LCM(2209,2214) = 4890726

Properties of LCM 2209 and 2214

(i) The LCM of 2214 and 2209 is associative

LCM of 2209 and 2214 = LCM of 2214 and 2209

Related Least Common Multiples of 2209

Related Least Common Multiples of 2214

Frequently Asked Questions on LCM of 2209 and 2214

1. What is the LCM of 2209 and 2214?

Answer: LCM of 2209 and 2214 is 4890726.

2. What are the Factors of 2209?

Answer: Factors of 2209 are 1, 47, 2209. There are 3 integers that are factors of 2209. The greatest factor of 2209 is 2209.

3. 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.

4. How to Find the LCM of 2209 and 2214?

Answer:

Least Common Multiple of 2209 and 2214 = 4890726

Step 1: Find the prime factorization of 2209

2209 = 47 x 47

Step 2: Find the prime factorization of 2214

2214 = 2 x 3 x 3 x 3 x 41

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

LCM = 4890726 = 2 x 3 x 3 x 3 x 41 x 47 x 47

Step 4: Therefore, the least common multiple of 2209 and 2214 is 4890726.