Least Common Multiple of 12200 and 12201

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 12201 the smallest integer that is 148852200 that is divisible by both numbers.

Least Common Multiple (LCM) of 12200 and 12201 is 148852200.

LCM(12200,12201) = 148852200

LCM of 12200 and 12201

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

LCM of:
and

Least Common Multiple of 12200 and 12201

LCM of 12200 and 12201 is 148852200

Least common multiple can be found by multiplying the highest exponent prime factors of 12200 and 12201. First we will calculate the prime factors of 12200 and 12201.

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 12201


3 12201
7 4067
7 581
83 83
1

Prime factors of 12201 are 3, 7,83. Prime factorization of 12201 in exponential form is:

12201 = 31×72×831

Now multiplying the highest exponent prime factors to calculate the LCM of 12200 and 12201.

LCM(12200,12201) = 23×31×52×72×611×831
LCM(12200,12201) = 148852200

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 12201

List of positive integer factors of 12201 that divides 12201 without a remainder.

1, 3, 7, 21, 49, 83, 147, 249, 581, 1743, 4067, 12201

Least Common Multiple of 12200 and 12201 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 12201, than apply into the LCM equation.

GCF(12200,12201) = 1
LCM(12200,12201) = ( 12200 × 12201) / 1
LCM(12200,12201) = 148852200 / 1
LCM(12200,12201) = 148852200

Properties of LCM 12200 and 12201

(i) The LCM of 12201 and 12200 is associative

LCM of 12200 and 12201 = LCM of 12201 and 12200

Related Least Common Multiples of 12200

Related Least Common Multiples of 12201

Frequently Asked Questions on LCM of 12200 and 12201

1. What is the LCM of 12200 and 12201?

Answer: LCM of 12200 and 12201 is 148852200.

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 12201?

Answer: Factors of 12201 are 1, 3, 7, 21, 49, 83, 147, 249, 581, 1743, 4067, 12201. There are 12 integers that are factors of 12201. The greatest factor of 12201 is 12201.

4. How to Find the LCM of 12200 and 12201?

Answer:

Least Common Multiple of 12200 and 12201 = 148852200

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 12201

12201 = 3 x 7 x 7 x 83

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

LCM = 148852200 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 7 x 61 x 83

Step 4: Therefore, the least common multiple of 12200 and 12201 is 148852200.