Least Common Multiple of 12203 and 12208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 12203 and 12208 the smallest integer that is 148974224 that is divisible by both numbers.

Least Common Multiple (LCM) of 12203 and 12208 is 148974224.

LCM(12203,12208) = 148974224

LCM of 12203 and 12208

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

LCM of:
and

Least Common Multiple of 12203 and 12208

LCM of 12203 and 12208 is 148974224

Least common multiple can be found by multiplying the highest exponent prime factors of 12203 and 12208. First we will calculate the prime factors of 12203 and 12208.

Prime Factorization of 12203


12203 12203
1

Prime factors of 12203 are 12203. Prime factorization of 12203 in exponential form is:

12203 = 122031

Prime Factorization of 12208


2 12208
2 6104
2 3052
2 1526
7 763
109 109
1

Prime factors of 12208 are 2, 7,109. Prime factorization of 12208 in exponential form is:

12208 = 24×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 12203 and 12208.

LCM(12203,12208) = 24×71×1091×122031
LCM(12203,12208) = 148974224

Factors of 12203

List of positive integer factors of 12203 that divides 12203 without a remainder.

1, 12203

Factors of 12208

List of positive integer factors of 12208 that divides 12208 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 109, 112, 218, 436, 763, 872, 1526, 1744, 3052, 6104, 12208

Least Common Multiple of 12203 and 12208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12203 and 12208, than apply into the LCM equation.

GCF(12203,12208) = 1
LCM(12203,12208) = ( 12203 × 12208) / 1
LCM(12203,12208) = 148974224 / 1
LCM(12203,12208) = 148974224

Properties of LCM 12203 and 12208

(i) The LCM of 12208 and 12203 is associative

LCM of 12203 and 12208 = LCM of 12208 and 12203

Frequently Asked Questions on LCM of 12203 and 12208

1. What is the LCM of 12203 and 12208?

Answer: LCM of 12203 and 12208 is 148974224.

2. What are the Factors of 12203?

Answer: Factors of 12203 are 1, 12203. There are 2 integers that are factors of 12203. The greatest factor of 12203 is 12203.

3. What are the Factors of 12208?

Answer: Factors of 12208 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 109, 112, 218, 436, 763, 872, 1526, 1744, 3052, 6104, 12208. There are 20 integers that are factors of 12208. The greatest factor of 12208 is 12208.

4. How to Find the LCM of 12203 and 12208?

Answer:

Least Common Multiple of 12203 and 12208 = 148974224

Step 1: Find the prime factorization of 12203

12203 = 12203

Step 2: Find the prime factorization of 12208

12208 = 2 x 2 x 2 x 2 x 7 x 109

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

LCM = 148974224 = 2 x 2 x 2 x 2 x 7 x 109 x 12203

Step 4: Therefore, the least common multiple of 12203 and 12208 is 148974224.