Least Common Multiple of 1200 and 1201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1200 and 1201 the smallest integer that is 1441200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1200 and 1201 is 1441200.

LCM(1200,1201) = 1441200

LCM of 1200 and 1201

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

LCM of:
and

Least Common Multiple of 1200 and 1201

LCM of 1200 and 1201 is 1441200

Least common multiple can be found by multiplying the highest exponent prime factors of 1200 and 1201. First we will calculate the prime factors of 1200 and 1201.

Prime Factorization of 1200


2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 1200 are 2, 3,5. Prime factorization of 1200 in exponential form is:

1200 = 24×31×52

Prime Factorization of 1201


1201 1201
1

Prime factors of 1201 are 1201. Prime factorization of 1201 in exponential form is:

1201 = 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 1200 and 1201.

LCM(1200,1201) = 24×31×52×12011
LCM(1200,1201) = 1441200

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

Factors of 1201

List of positive integer factors of 1201 that divides 1201 without a remainder.

1, 1201

Least Common Multiple of 1200 and 1201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1200 and 1201, than apply into the LCM equation.

GCF(1200,1201) = 1
LCM(1200,1201) = ( 1200 × 1201) / 1
LCM(1200,1201) = 1441200 / 1
LCM(1200,1201) = 1441200

Properties of LCM 1200 and 1201

(i) The LCM of 1201 and 1200 is associative

LCM of 1200 and 1201 = LCM of 1201 and 1200

Related Least Common Multiples of 1200

Related Least Common Multiples of 1201

Frequently Asked Questions on LCM of 1200 and 1201

1. What is the LCM of 1200 and 1201?

Answer: LCM of 1200 and 1201 is 1441200.

2. What are the Factors of 1200?

Answer: Factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200. There are 30 integers that are factors of 1200. The greatest factor of 1200 is 1200.

3. What are the Factors of 1201?

Answer: Factors of 1201 are 1, 1201. There are 2 integers that are factors of 1201. The greatest factor of 1201 is 1201.

4. How to Find the LCM of 1200 and 1201?

Answer:

Least Common Multiple of 1200 and 1201 = 1441200

Step 1: Find the prime factorization of 1200

1200 = 2 x 2 x 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 1201

1201 = 1201

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

LCM = 1441200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 1201

Step 4: Therefore, the least common multiple of 1200 and 1201 is 1441200.