Least Common Multiple of 2207 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 2207 and 2214 the smallest integer that is 4886298 that is divisible by both numbers.

Least Common Multiple (LCM) of 2207 and 2214 is 4886298.

LCM(2207,2214) = 4886298

LCM of 2207 and 2214

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

LCM of:
and

Least Common Multiple of 2207 and 2214

LCM of 2207 and 2214 is 4886298

Least common multiple can be found by multiplying the highest exponent prime factors of 2207 and 2214. First we will calculate the prime factors of 2207 and 2214.

Prime Factorization of 2207


2207 2207
1

Prime factors of 2207 are 2207. Prime factorization of 2207 in exponential form is:

2207 = 22071

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 2207 and 2214.

LCM(2207,2214) = 21×33×411×22071
LCM(2207,2214) = 4886298

Factors of 2207

List of positive integer factors of 2207 that divides 2207 without a remainder.

1, 2207

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 2207 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 2207 and 2214, than apply into the LCM equation.

GCF(2207,2214) = 1
LCM(2207,2214) = ( 2207 × 2214) / 1
LCM(2207,2214) = 4886298 / 1
LCM(2207,2214) = 4886298

Properties of LCM 2207 and 2214

(i) The LCM of 2214 and 2207 is associative

LCM of 2207 and 2214 = LCM of 2214 and 2207

Related Least Common Multiples of 2207

Related Least Common Multiples of 2214

Frequently Asked Questions on LCM of 2207 and 2214

1. What is the LCM of 2207 and 2214?

Answer: LCM of 2207 and 2214 is 4886298.

2. What are the Factors of 2207?

Answer: Factors of 2207 are 1, 2207. There are 2 integers that are factors of 2207. The greatest factor of 2207 is 2207.

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 2207 and 2214?

Answer:

Least Common Multiple of 2207 and 2214 = 4886298

Step 1: Find the prime factorization of 2207

2207 = 2207

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 = 4886298 = 2 x 3 x 3 x 3 x 41 x 2207

Step 4: Therefore, the least common multiple of 2207 and 2214 is 4886298.