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 1253 the smallest integer that is 1567503 that is divisible by both numbers.
Least Common Multiple (LCM) of 1251 and 1253 is 1567503.
LCM(1251,1253) = 1567503
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 1253. First we will calculate the prime factors of 1251 and 1253.
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 1253
7 | 1253 |
179 | 179 |
1 |
Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:
1253 = 71×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 1251 and 1253.
LCM(1251,1253) = 32×71×1391×1791
LCM(1251,1253) = 1567503
Factors of 1251
List of positive integer factors of 1251 that divides 1251 without a remainder.
1, 3, 9, 139, 417, 1251
Factors of 1253
List of positive integer factors of 1253 that divides 1253 without a remainder.
1, 7, 179, 1253
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1251 and 1253, than apply into the LCM equation.
GCF(1251,1253) = 1
LCM(1251,1253) = ( 1251 × 1253) / 1
LCM(1251,1253) = 1567503 / 1
LCM(1251,1253) = 1567503
(i) The LCM of 1253 and 1251 is associative
LCM of 1251 and 1253 = LCM of 1253 and 1251
1. What is the LCM of 1251 and 1253?
Answer: LCM of 1251 and 1253 is 1567503.
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 1253?
Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.
4. How to Find the LCM of 1251 and 1253?
Answer:
Least Common Multiple of 1251 and 1253 = 1567503
Step 1: Find the prime factorization of 1251
1251 = 3 x 3 x 139
Step 2: Find the prime factorization of 1253
1253 = 7 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1567503 = 3 x 3 x 7 x 139 x 179
Step 4: Therefore, the least common multiple of 1251 and 1253 is 1567503.