Least Common Multiple of 2205 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 2205 and 2212 the smallest integer that is 696780 that is divisible by both numbers.

Least Common Multiple (LCM) of 2205 and 2212 is 696780.

LCM(2205,2212) = 696780

LCM of 2205 and 2212

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

LCM of:
and

Least Common Multiple of 2205 and 2212

LCM of 2205 and 2212 is 696780

Least common multiple can be found by multiplying the highest exponent prime factors of 2205 and 2212. First we will calculate the prime factors of 2205 and 2212.

Prime Factorization of 2205


3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 2205 are 3, 5,7. Prime factorization of 2205 in exponential form is:

2205 = 32×51×72

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 2205 and 2212.

LCM(2205,2212) = 22×32×51×72×791
LCM(2205,2212) = 696780

Factors of 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205

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 2205 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 2205 and 2212, than apply into the LCM equation.

GCF(2205,2212) = 7
LCM(2205,2212) = ( 2205 × 2212) / 7
LCM(2205,2212) = 4877460 / 7
LCM(2205,2212) = 696780

Properties of LCM 2205 and 2212

(i) The LCM of 2212 and 2205 is associative

LCM of 2205 and 2212 = LCM of 2212 and 2205

Related Least Common Multiples of 2205

Related Least Common Multiples of 2212

Frequently Asked Questions on LCM of 2205 and 2212

1. What is the LCM of 2205 and 2212?

Answer: LCM of 2205 and 2212 is 696780.

2. What are the Factors of 2205?

Answer: Factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205. There are 18 integers that are factors of 2205. The greatest factor of 2205 is 2205.

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 2205 and 2212?

Answer:

Least Common Multiple of 2205 and 2212 = 696780

Step 1: Find the prime factorization of 2205

2205 = 3 x 3 x 5 x 7 x 7

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 = 696780 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 79

Step 4: Therefore, the least common multiple of 2205 and 2212 is 696780.