Least Common Multiple of 1200 and 1207

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 1207 the smallest integer that is 1448400 that is divisible by both numbers.

Least Common Multiple (LCM) of 1200 and 1207 is 1448400.

LCM(1200,1207) = 1448400

LCM of 1200 and 1207

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

LCM of:
and

Least Common Multiple of 1200 and 1207

LCM of 1200 and 1207 is 1448400

Least common multiple can be found by multiplying the highest exponent prime factors of 1200 and 1207. First we will calculate the prime factors of 1200 and 1207.

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 1207


17 1207
71 71
1

Prime factors of 1207 are 17,71. Prime factorization of 1207 in exponential form is:

1207 = 171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1200 and 1207.

LCM(1200,1207) = 24×31×52×171×711
LCM(1200,1207) = 1448400

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 1207

List of positive integer factors of 1207 that divides 1207 without a remainder.

1, 17, 71, 1207

Least Common Multiple of 1200 and 1207 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 1207, than apply into the LCM equation.

GCF(1200,1207) = 1
LCM(1200,1207) = ( 1200 × 1207) / 1
LCM(1200,1207) = 1448400 / 1
LCM(1200,1207) = 1448400

Properties of LCM 1200 and 1207

(i) The LCM of 1207 and 1200 is associative

LCM of 1200 and 1207 = LCM of 1207 and 1200

Related Least Common Multiples of 1200

Related Least Common Multiples of 1207

Frequently Asked Questions on LCM of 1200 and 1207

1. What is the LCM of 1200 and 1207?

Answer: LCM of 1200 and 1207 is 1448400.

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 1207?

Answer: Factors of 1207 are 1, 17, 71, 1207. There are 4 integers that are factors of 1207. The greatest factor of 1207 is 1207.

4. How to Find the LCM of 1200 and 1207?

Answer:

Least Common Multiple of 1200 and 1207 = 1448400

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 1207

1207 = 17 x 71

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

LCM = 1448400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 71

Step 4: Therefore, the least common multiple of 1200 and 1207 is 1448400.