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 1202 the smallest integer that is 1443602 that is divisible by both numbers.
Least Common Multiple (LCM) of 1201 and 1202 is 1443602.
LCM(1201,1202) = 1443602
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 1202. First we will calculate the prime factors of 1201 and 1202.
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 1202
2 | 1202 |
601 | 601 |
1 |
Prime factors of 1202 are 2,601. Prime factorization of 1202 in exponential form is:
1202 = 21×6011
Now multiplying the highest exponent prime factors to calculate the LCM of 1201 and 1202.
LCM(1201,1202) = 21×6011×12011
LCM(1201,1202) = 1443602
Factors of 1201
List of positive integer factors of 1201 that divides 1201 without a remainder.
1, 1201
Factors of 1202
List of positive integer factors of 1202 that divides 1202 without a remainder.
1, 2, 601, 1202
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1201 and 1202, than apply into the LCM equation.
GCF(1201,1202) = 1
LCM(1201,1202) = ( 1201 × 1202) / 1
LCM(1201,1202) = 1443602 / 1
LCM(1201,1202) = 1443602
(i) The LCM of 1202 and 1201 is associative
LCM of 1201 and 1202 = LCM of 1202 and 1201
1. What is the LCM of 1201 and 1202?
Answer: LCM of 1201 and 1202 is 1443602.
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 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.
4. How to Find the LCM of 1201 and 1202?
Answer:
Least Common Multiple of 1201 and 1202 = 1443602
Step 1: Find the prime factorization of 1201
1201 = 1201
Step 2: Find the prime factorization of 1202
1202 = 2 x 601
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1443602 = 2 x 601 x 1201
Step 4: Therefore, the least common multiple of 1201 and 1202 is 1443602.