Least Common Multiple of 1202 and 1209

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 1209 the smallest integer that is 1453218 that is divisible by both numbers.

Least Common Multiple (LCM) of 1202 and 1209 is 1453218.

LCM(1202,1209) = 1453218

LCM of 1202 and 1209

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

LCM of:
and

Least Common Multiple of 1202 and 1209

LCM of 1202 and 1209 is 1453218

Least common multiple can be found by multiplying the highest exponent prime factors of 1202 and 1209. First we will calculate the prime factors of 1202 and 1209.

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 1209


3 1209
13 403
31 31
1

Prime factors of 1209 are 3, 13,31. Prime factorization of 1209 in exponential form is:

1209 = 31×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1202 and 1209.

LCM(1202,1209) = 21×31×131×311×6011
LCM(1202,1209) = 1453218

Factors of 1202

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

1, 2, 601, 1202

Factors of 1209

List of positive integer factors of 1209 that divides 1209 without a remainder.

1, 3, 13, 31, 39, 93, 403, 1209

Least Common Multiple of 1202 and 1209 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 1209, than apply into the LCM equation.

GCF(1202,1209) = 1
LCM(1202,1209) = ( 1202 × 1209) / 1
LCM(1202,1209) = 1453218 / 1
LCM(1202,1209) = 1453218

Properties of LCM 1202 and 1209

(i) The LCM of 1209 and 1202 is associative

LCM of 1202 and 1209 = LCM of 1209 and 1202

Related Least Common Multiples of 1202

Related Least Common Multiples of 1209

Frequently Asked Questions on LCM of 1202 and 1209

1. What is the LCM of 1202 and 1209?

Answer: LCM of 1202 and 1209 is 1453218.

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 1209?

Answer: Factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209. There are 8 integers that are factors of 1209. The greatest factor of 1209 is 1209.

4. How to Find the LCM of 1202 and 1209?

Answer:

Least Common Multiple of 1202 and 1209 = 1453218

Step 1: Find the prime factorization of 1202

1202 = 2 x 601

Step 2: Find the prime factorization of 1209

1209 = 3 x 13 x 31

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

LCM = 1453218 = 2 x 3 x 13 x 31 x 601

Step 4: Therefore, the least common multiple of 1202 and 1209 is 1453218.