Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 247 and 252 the smallest integer that is 62244 that is divisible by both numbers.
Least Common Multiple (LCM) of 247 and 252 is 62244.
LCM(247,252) = 62244
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 247 and 252. First we will calculate the prime factors of 247 and 252.
Prime Factorization of 247
13 | 247 |
19 | 19 |
1 |
Prime factors of 247 are 13,19. Prime factorization of 247 in exponential form is:
247 = 131×191
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 247 and 252.
LCM(247,252) = 22×32×71×131×191
LCM(247,252) = 62244
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1, 13, 19, 247
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 247 and 252, than apply into the LCM equation.
GCF(247,252) = 1
LCM(247,252) = ( 247 × 252) / 1
LCM(247,252) = 62244 / 1
LCM(247,252) = 62244
(i) The LCM of 252 and 247 is associative
LCM of 247 and 252 = LCM of 252 and 247
1. What is the LCM of 247 and 252?
Answer: LCM of 247 and 252 is 62244.
2. What are the Factors of 247?
Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.
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 247 and 252?
Answer:
Least Common Multiple of 247 and 252 = 62244
Step 1: Find the prime factorization of 247
247 = 13 x 19
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 = 62244 = 2 x 2 x 3 x 3 x 7 x 13 x 19
Step 4: Therefore, the least common multiple of 247 and 252 is 62244.