Least Common Multiple of 2208 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 2208 and 2212 the smallest integer that is 1221024 that is divisible by both numbers.

Least Common Multiple (LCM) of 2208 and 2212 is 1221024.

LCM(2208,2212) = 1221024

LCM of 2208 and 2212

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

LCM of:
and

Least Common Multiple of 2208 and 2212

LCM of 2208 and 2212 is 1221024

Least common multiple can be found by multiplying the highest exponent prime factors of 2208 and 2212. First we will calculate the prime factors of 2208 and 2212.

Prime Factorization of 2208


2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 2208 are 2, 3,23. Prime factorization of 2208 in exponential form is:

2208 = 25×31×231

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 2208 and 2212.

LCM(2208,2212) = 25×31×71×231×791
LCM(2208,2212) = 1221024

Factors of 2208

List of positive integer factors of 2208 that divides 2208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208

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 2208 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 2208 and 2212, than apply into the LCM equation.

GCF(2208,2212) = 4
LCM(2208,2212) = ( 2208 × 2212) / 4
LCM(2208,2212) = 4884096 / 4
LCM(2208,2212) = 1221024

Properties of LCM 2208 and 2212

(i) The LCM of 2212 and 2208 is associative

LCM of 2208 and 2212 = LCM of 2212 and 2208

Related Least Common Multiples of 2208

Related Least Common Multiples of 2212

Frequently Asked Questions on LCM of 2208 and 2212

1. What is the LCM of 2208 and 2212?

Answer: LCM of 2208 and 2212 is 1221024.

2. What are the Factors of 2208?

Answer: Factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208. There are 24 integers that are factors of 2208. The greatest factor of 2208 is 2208.

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 2208 and 2212?

Answer:

Least Common Multiple of 2208 and 2212 = 1221024

Step 1: Find the prime factorization of 2208

2208 = 2 x 2 x 2 x 2 x 2 x 3 x 23

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 = 1221024 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 23 x 79

Step 4: Therefore, the least common multiple of 2208 and 2212 is 1221024.