Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1251 and 1252 the smallest integer that is 1566252 that is divisible by both numbers.
Least Common Multiple (LCM) of 1251 and 1252 is 1566252.
LCM(1251,1252) = 1566252
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 1251 and 1252. First we will calculate the prime factors of 1251 and 1252.
Prime Factorization of 1251
3 | 1251 |
3 | 417 |
139 | 139 |
1 |
Prime factors of 1251 are 3,139. Prime factorization of 1251 in exponential form is:
1251 = 32×1391
Prime Factorization of 1252
2 | 1252 |
2 | 626 |
313 | 313 |
1 |
Prime factors of 1252 are 2,313. Prime factorization of 1252 in exponential form is:
1252 = 22×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 1251 and 1252.
LCM(1251,1252) = 22×32×1391×3131
LCM(1251,1252) = 1566252
Factors of 1251
List of positive integer factors of 1251 that divides 1251 without a remainder.
1, 3, 9, 139, 417, 1251
Factors of 1252
List of positive integer factors of 1252 that divides 1252 without a remainder.
1, 2, 4, 313, 626, 1252
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1251 and 1252, than apply into the LCM equation.
GCF(1251,1252) = 1
LCM(1251,1252) = ( 1251 × 1252) / 1
LCM(1251,1252) = 1566252 / 1
LCM(1251,1252) = 1566252
(i) The LCM of 1252 and 1251 is associative
LCM of 1251 and 1252 = LCM of 1252 and 1251
1. What is the LCM of 1251 and 1252?
Answer: LCM of 1251 and 1252 is 1566252.
2. What are the Factors of 1251?
Answer: Factors of 1251 are 1, 3, 9, 139, 417, 1251. There are 6 integers that are factors of 1251. The greatest factor of 1251 is 1251.
3. What are the Factors of 1252?
Answer: Factors of 1252 are 1, 2, 4, 313, 626, 1252. There are 6 integers that are factors of 1252. The greatest factor of 1252 is 1252.
4. How to Find the LCM of 1251 and 1252?
Answer:
Least Common Multiple of 1251 and 1252 = 1566252
Step 1: Find the prime factorization of 1251
1251 = 3 x 3 x 139
Step 2: Find the prime factorization of 1252
1252 = 2 x 2 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1566252 = 2 x 2 x 3 x 3 x 139 x 313
Step 4: Therefore, the least common multiple of 1251 and 1252 is 1566252.