Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 251 and 252 the smallest integer that is 63252 that is divisible by both numbers.
Least Common Multiple (LCM) of 251 and 252 is 63252.
LCM(251,252) = 63252
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 251 and 252. First we will calculate the prime factors of 251 and 252.
Prime Factorization of 251
251 | 251 |
1 |
Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:
251 = 2511
Prime Factorization of 252
2 | 252 |
2 | 126 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 252 are 2, 3,7. Prime factorization of 252 in exponential form is:
252 = 22×32×71
Now multiplying the highest exponent prime factors to calculate the LCM of 251 and 252.
LCM(251,252) = 22×32×71×2511
LCM(251,252) = 63252
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1, 251
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 251 and 252, than apply into the LCM equation.
GCF(251,252) = 1
LCM(251,252) = ( 251 × 252) / 1
LCM(251,252) = 63252 / 1
LCM(251,252) = 63252
(i) The LCM of 252 and 251 is associative
LCM of 251 and 252 = LCM of 252 and 251
1. What is the LCM of 251 and 252?
Answer: LCM of 251 and 252 is 63252.
2. What are the Factors of 251?
Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.
3. What are the Factors of 252?
Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.
4. How to Find the LCM of 251 and 252?
Answer:
Least Common Multiple of 251 and 252 = 63252
Step 1: Find the prime factorization of 251
251 = 251
Step 2: Find the prime factorization of 252
252 = 2 x 2 x 3 x 3 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63252 = 2 x 2 x 3 x 3 x 7 x 251
Step 4: Therefore, the least common multiple of 251 and 252 is 63252.