Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1201 and 1209 the smallest integer that is 1452009 that is divisible by both numbers.
Least Common Multiple (LCM) of 1201 and 1209 is 1452009.
LCM(1201,1209) = 1452009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1201 and 1209. First we will calculate the prime factors of 1201 and 1209.
Prime Factorization of 1201
1201 | 1201 |
1 |
Prime factors of 1201 are 1201. Prime factorization of 1201 in exponential form is:
1201 = 12011
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 1201 and 1209.
LCM(1201,1209) = 31×131×311×12011
LCM(1201,1209) = 1452009
Factors of 1201
List of positive integer factors of 1201 that divides 1201 without a remainder.
1, 1201
Factors of 1209
List of positive integer factors of 1209 that divides 1209 without a remainder.
1, 3, 13, 31, 39, 93, 403, 1209
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1201 and 1209, than apply into the LCM equation.
GCF(1201,1209) = 1
LCM(1201,1209) = ( 1201 × 1209) / 1
LCM(1201,1209) = 1452009 / 1
LCM(1201,1209) = 1452009
(i) The LCM of 1209 and 1201 is associative
LCM of 1201 and 1209 = LCM of 1209 and 1201
1. What is the LCM of 1201 and 1209?
Answer: LCM of 1201 and 1209 is 1452009.
2. What are the Factors of 1201?
Answer: Factors of 1201 are 1, 1201. There are 2 integers that are factors of 1201. The greatest factor of 1201 is 1201.
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 1201 and 1209?
Answer:
Least Common Multiple of 1201 and 1209 = 1452009
Step 1: Find the prime factorization of 1201
1201 = 1201
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 = 1452009 = 3 x 13 x 31 x 1201
Step 4: Therefore, the least common multiple of 1201 and 1209 is 1452009.