Least Common Multiple of 2209 and 2216

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 2216 the smallest integer that is 4895144 that is divisible by both numbers.

Least Common Multiple (LCM) of 2209 and 2216 is 4895144.

LCM(2209,2216) = 4895144

LCM of 2209 and 2216

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

LCM of:
and

Least Common Multiple of 2209 and 2216

LCM of 2209 and 2216 is 4895144

Least common multiple can be found by multiplying the highest exponent prime factors of 2209 and 2216. First we will calculate the prime factors of 2209 and 2216.

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 2216


2 2216
2 1108
2 554
277 277
1

Prime factors of 2216 are 2,277. Prime factorization of 2216 in exponential form is:

2216 = 23×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 2209 and 2216.

LCM(2209,2216) = 23×472×2771
LCM(2209,2216) = 4895144

Factors of 2209

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

1, 47, 2209

Factors of 2216

List of positive integer factors of 2216 that divides 2216 without a remainder.

1, 2, 4, 8, 277, 554, 1108, 2216

Least Common Multiple of 2209 and 2216 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 2216, than apply into the LCM equation.

GCF(2209,2216) = 1
LCM(2209,2216) = ( 2209 × 2216) / 1
LCM(2209,2216) = 4895144 / 1
LCM(2209,2216) = 4895144

Properties of LCM 2209 and 2216

(i) The LCM of 2216 and 2209 is associative

LCM of 2209 and 2216 = LCM of 2216 and 2209

Related Least Common Multiples of 2209

Related Least Common Multiples of 2216

Frequently Asked Questions on LCM of 2209 and 2216

1. What is the LCM of 2209 and 2216?

Answer: LCM of 2209 and 2216 is 4895144.

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 2216?

Answer: Factors of 2216 are 1, 2, 4, 8, 277, 554, 1108, 2216. There are 8 integers that are factors of 2216. The greatest factor of 2216 is 2216.

4. How to Find the LCM of 2209 and 2216?

Answer:

Least Common Multiple of 2209 and 2216 = 4895144

Step 1: Find the prime factorization of 2209

2209 = 47 x 47

Step 2: Find the prime factorization of 2216

2216 = 2 x 2 x 2 x 277

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

LCM = 4895144 = 2 x 2 x 2 x 47 x 47 x 277

Step 4: Therefore, the least common multiple of 2209 and 2216 is 4895144.