Least Common Multiple of 1202 and 1203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1202 and 1203 the smallest integer that is 1446006 that is divisible by both numbers.

Least Common Multiple (LCM) of 1202 and 1203 is 1446006.

LCM(1202,1203) = 1446006

LCM of 1202 and 1203

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

LCM of:
and

Least Common Multiple of 1202 and 1203

LCM of 1202 and 1203 is 1446006

Least common multiple can be found by multiplying the highest exponent prime factors of 1202 and 1203. First we will calculate the prime factors of 1202 and 1203.

Prime Factorization of 1202


2 1202
601 601
1

Prime factors of 1202 are 2,601. Prime factorization of 1202 in exponential form is:

1202 = 21×6011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1202 and 1203.

LCM(1202,1203) = 21×31×4011×6011
LCM(1202,1203) = 1446006

Factors of 1202

List of positive integer factors of 1202 that divides 1202 without a remainder.

1, 2, 601, 1202

Factors of 1203

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

1, 3, 401, 1203

Least Common Multiple of 1202 and 1203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1202 and 1203, than apply into the LCM equation.

GCF(1202,1203) = 1
LCM(1202,1203) = ( 1202 × 1203) / 1
LCM(1202,1203) = 1446006 / 1
LCM(1202,1203) = 1446006

Properties of LCM 1202 and 1203

(i) The LCM of 1203 and 1202 is associative

LCM of 1202 and 1203 = LCM of 1203 and 1202

Related Least Common Multiples of 1202

Related Least Common Multiples of 1203

Frequently Asked Questions on LCM of 1202 and 1203

1. What is the LCM of 1202 and 1203?

Answer: LCM of 1202 and 1203 is 1446006.

2. What are the Factors of 1202?

Answer: Factors of 1202 are 1, 2, 601, 1202. There are 4 integers that are factors of 1202. The greatest factor of 1202 is 1202.

3. 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.

4. How to Find the LCM of 1202 and 1203?

Answer:

Least Common Multiple of 1202 and 1203 = 1446006

Step 1: Find the prime factorization of 1202

1202 = 2 x 601

Step 2: Find the prime factorization of 1203

1203 = 3 x 401

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

LCM = 1446006 = 2 x 3 x 401 x 601

Step 4: Therefore, the least common multiple of 1202 and 1203 is 1446006.