Least Common Multiple of 12203 and 12211

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 12211 the smallest integer that is 149010833 that is divisible by both numbers.

Least Common Multiple (LCM) of 12203 and 12211 is 149010833.

LCM(12203,12211) = 149010833

LCM of 12203 and 12211

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

LCM of:
and

Least Common Multiple of 12203 and 12211

LCM of 12203 and 12211 is 149010833

Least common multiple can be found by multiplying the highest exponent prime factors of 12203 and 12211. First we will calculate the prime factors of 12203 and 12211.

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 12211


12211 12211
1

Prime factors of 12211 are 12211. Prime factorization of 12211 in exponential form is:

12211 = 122111

Now multiplying the highest exponent prime factors to calculate the LCM of 12203 and 12211.

LCM(12203,12211) = 122031×122111
LCM(12203,12211) = 149010833

Factors of 12203

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

1, 12203

Factors of 12211

List of positive integer factors of 12211 that divides 12211 without a remainder.

1, 12211

Least Common Multiple of 12203 and 12211 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 12211, than apply into the LCM equation.

GCF(12203,12211) = 1
LCM(12203,12211) = ( 12203 × 12211) / 1
LCM(12203,12211) = 149010833 / 1
LCM(12203,12211) = 149010833

Properties of LCM 12203 and 12211

(i) The LCM of 12211 and 12203 is associative

LCM of 12203 and 12211 = LCM of 12211 and 12203

Related Least Common Multiples of 12203

Related Least Common Multiples of 12211

Frequently Asked Questions on LCM of 12203 and 12211

1. What is the LCM of 12203 and 12211?

Answer: LCM of 12203 and 12211 is 149010833.

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 12211?

Answer: Factors of 12211 are 1, 12211. There are 2 integers that are factors of 12211. The greatest factor of 12211 is 12211.

4. How to Find the LCM of 12203 and 12211?

Answer:

Least Common Multiple of 12203 and 12211 = 149010833

Step 1: Find the prime factorization of 12203

12203 = 12203

Step 2: Find the prime factorization of 12211

12211 = 12211

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

LCM = 149010833 = 12203 x 12211

Step 4: Therefore, the least common multiple of 12203 and 12211 is 149010833.