Least Common Multiple of 12200 and 12203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12200 and 12203 the smallest integer that is 148876600 that is divisible by both numbers.

Least Common Multiple (LCM) of 12200 and 12203 is 148876600.

LCM(12200,12203) = 148876600

LCM of 12200 and 12203

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

LCM of:
and

Least Common Multiple of 12200 and 12203

LCM of 12200 and 12203 is 148876600

Least common multiple can be found by multiplying the highest exponent prime factors of 12200 and 12203. First we will calculate the prime factors of 12200 and 12203.

Prime Factorization of 12200


2 12200
2 6100
2 3050
5 1525
5 305
61 61
1

Prime factors of 12200 are 2, 5,61. Prime factorization of 12200 in exponential form is:

12200 = 23×52×611

Prime Factorization of 12203


12203 12203
1

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

12203 = 122031

Now multiplying the highest exponent prime factors to calculate the LCM of 12200 and 12203.

LCM(12200,12203) = 23×52×611×122031
LCM(12200,12203) = 148876600

Factors of 12200

List of positive integer factors of 12200 that divides 12200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 200, 244, 305, 488, 610, 1220, 1525, 2440, 3050, 6100, 12200

Factors of 12203

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

1, 12203

Least Common Multiple of 12200 and 12203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12200 and 12203, than apply into the LCM equation.

GCF(12200,12203) = 1
LCM(12200,12203) = ( 12200 × 12203) / 1
LCM(12200,12203) = 148876600 / 1
LCM(12200,12203) = 148876600

Properties of LCM 12200 and 12203

(i) The LCM of 12203 and 12200 is associative

LCM of 12200 and 12203 = LCM of 12203 and 12200

Related Least Common Multiples of 12200

Related Least Common Multiples of 12203

Frequently Asked Questions on LCM of 12200 and 12203

1. What is the LCM of 12200 and 12203?

Answer: LCM of 12200 and 12203 is 148876600.

2. What are the Factors of 12200?

Answer: Factors of 12200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 200, 244, 305, 488, 610, 1220, 1525, 2440, 3050, 6100, 12200. There are 24 integers that are factors of 12200. The greatest factor of 12200 is 12200.

3. 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.

4. How to Find the LCM of 12200 and 12203?

Answer:

Least Common Multiple of 12200 and 12203 = 148876600

Step 1: Find the prime factorization of 12200

12200 = 2 x 2 x 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 12203

12203 = 12203

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

LCM = 148876600 = 2 x 2 x 2 x 5 x 5 x 61 x 12203

Step 4: Therefore, the least common multiple of 12200 and 12203 is 148876600.