Least Common Multiple of 2209 and 2212

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 2212 the smallest integer that is 4886308 that is divisible by both numbers.

Least Common Multiple (LCM) of 2209 and 2212 is 4886308.

LCM(2209,2212) = 4886308

LCM of 2209 and 2212

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

LCM of:
and

Least Common Multiple of 2209 and 2212

LCM of 2209 and 2212 is 4886308

Least common multiple can be found by multiplying the highest exponent prime factors of 2209 and 2212. First we will calculate the prime factors of 2209 and 2212.

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 2212


2 2212
2 1106
7 553
79 79
1

Prime factors of 2212 are 2, 7,79. Prime factorization of 2212 in exponential form is:

2212 = 22×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 2209 and 2212.

LCM(2209,2212) = 22×71×472×791
LCM(2209,2212) = 4886308

Factors of 2209

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

1, 47, 2209

Factors of 2212

List of positive integer factors of 2212 that divides 2212 without a remainder.

1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212

Least Common Multiple of 2209 and 2212 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 2212, than apply into the LCM equation.

GCF(2209,2212) = 1
LCM(2209,2212) = ( 2209 × 2212) / 1
LCM(2209,2212) = 4886308 / 1
LCM(2209,2212) = 4886308

Properties of LCM 2209 and 2212

(i) The LCM of 2212 and 2209 is associative

LCM of 2209 and 2212 = LCM of 2212 and 2209

Related Least Common Multiples of 2209

Related Least Common Multiples of 2212

Frequently Asked Questions on LCM of 2209 and 2212

1. What is the LCM of 2209 and 2212?

Answer: LCM of 2209 and 2212 is 4886308.

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 2212?

Answer: Factors of 2212 are 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212. There are 12 integers that are factors of 2212. The greatest factor of 2212 is 2212.

4. How to Find the LCM of 2209 and 2212?

Answer:

Least Common Multiple of 2209 and 2212 = 4886308

Step 1: Find the prime factorization of 2209

2209 = 47 x 47

Step 2: Find the prime factorization of 2212

2212 = 2 x 2 x 7 x 79

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

LCM = 4886308 = 2 x 2 x 7 x 47 x 47 x 79

Step 4: Therefore, the least common multiple of 2209 and 2212 is 4886308.