Least Common Multiple of 1202 and 1205

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 1205 the smallest integer that is 1448410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1202 and 1205 is 1448410.

LCM(1202,1205) = 1448410

LCM of 1202 and 1205

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

LCM of:
and

Least Common Multiple of 1202 and 1205

LCM of 1202 and 1205 is 1448410

Least common multiple can be found by multiplying the highest exponent prime factors of 1202 and 1205. First we will calculate the prime factors of 1202 and 1205.

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 1205


5 1205
241 241
1

Prime factors of 1205 are 5,241. Prime factorization of 1205 in exponential form is:

1205 = 51×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 1202 and 1205.

LCM(1202,1205) = 21×51×2411×6011
LCM(1202,1205) = 1448410

Factors of 1202

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

1, 2, 601, 1202

Factors of 1205

List of positive integer factors of 1205 that divides 1205 without a remainder.

1, 5, 241, 1205

Least Common Multiple of 1202 and 1205 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 1205, than apply into the LCM equation.

GCF(1202,1205) = 1
LCM(1202,1205) = ( 1202 × 1205) / 1
LCM(1202,1205) = 1448410 / 1
LCM(1202,1205) = 1448410

Properties of LCM 1202 and 1205

(i) The LCM of 1205 and 1202 is associative

LCM of 1202 and 1205 = LCM of 1205 and 1202

Related Least Common Multiples of 1202

Related Least Common Multiples of 1205

Frequently Asked Questions on LCM of 1202 and 1205

1. What is the LCM of 1202 and 1205?

Answer: LCM of 1202 and 1205 is 1448410.

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 1205?

Answer: Factors of 1205 are 1, 5, 241, 1205. There are 4 integers that are factors of 1205. The greatest factor of 1205 is 1205.

4. How to Find the LCM of 1202 and 1205?

Answer:

Least Common Multiple of 1202 and 1205 = 1448410

Step 1: Find the prime factorization of 1202

1202 = 2 x 601

Step 2: Find the prime factorization of 1205

1205 = 5 x 241

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

LCM = 1448410 = 2 x 5 x 241 x 601

Step 4: Therefore, the least common multiple of 1202 and 1205 is 1448410.