Least Common Multiple of 1203 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 1203 and 1207 the smallest integer that is 1452021 that is divisible by both numbers.

Least Common Multiple (LCM) of 1203 and 1207 is 1452021.

LCM(1203,1207) = 1452021

LCM of 1203 and 1207

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

LCM of:
and

Least Common Multiple of 1203 and 1207

LCM of 1203 and 1207 is 1452021

Least common multiple can be found by multiplying the highest exponent prime factors of 1203 and 1207. First we will calculate the prime factors of 1203 and 1207.

Prime Factorization of 1203


3 1203
401 401
1

Prime factors of 1203 are 3,401. Prime factorization of 1203 in exponential form is:

1203 = 31×4011

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 1203 and 1207.

LCM(1203,1207) = 31×171×711×4011
LCM(1203,1207) = 1452021

Factors of 1203

List of positive integer factors of 1203 that divides 1203 without a remainder.

1, 3, 401, 1203

Factors of 1207

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

1, 17, 71, 1207

Least Common Multiple of 1203 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 1203 and 1207, than apply into the LCM equation.

GCF(1203,1207) = 1
LCM(1203,1207) = ( 1203 × 1207) / 1
LCM(1203,1207) = 1452021 / 1
LCM(1203,1207) = 1452021

Properties of LCM 1203 and 1207

(i) The LCM of 1207 and 1203 is associative

LCM of 1203 and 1207 = LCM of 1207 and 1203

Related Least Common Multiples of 1203

Related Least Common Multiples of 1207

Frequently Asked Questions on LCM of 1203 and 1207

1. What is the LCM of 1203 and 1207?

Answer: LCM of 1203 and 1207 is 1452021.

2. What are the Factors of 1203?

Answer: Factors of 1203 are 1, 3, 401, 1203. There are 4 integers that are factors of 1203. The greatest factor of 1203 is 1203.

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 1203 and 1207?

Answer:

Least Common Multiple of 1203 and 1207 = 1452021

Step 1: Find the prime factorization of 1203

1203 = 3 x 401

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 = 1452021 = 3 x 17 x 71 x 401

Step 4: Therefore, the least common multiple of 1203 and 1207 is 1452021.