Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 307452 and 307458 the smallest integer that is 15754762836 that is divisible by both numbers.
Least Common Multiple (LCM) of 307452 and 307458 is 15754762836.
LCM(307452,307458) = 15754762836
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 307452 and 307458. First we will calculate the prime factors of 307452 and 307458.
Prime Factorization of 307452
2 | 307452 |
2 | 153726 |
3 | 76863 |
25621 | 25621 |
1 |
Prime factors of 307452 are 2, 3,25621. Prime factorization of 307452 in exponential form is:
307452 = 22×31×256211
Prime Factorization of 307458
2 | 307458 |
3 | 153729 |
3 | 51243 |
19 | 17081 |
29 | 899 |
31 | 31 |
1 |
Prime factors of 307458 are 2, 3, 19, 29,31. Prime factorization of 307458 in exponential form is:
307458 = 21×32×191×291×311
Now multiplying the highest exponent prime factors to calculate the LCM of 307452 and 307458.
LCM(307452,307458) = 22×32×191×291×311×256211
LCM(307452,307458) = 15754762836
Factors of 307452
List of positive integer factors of 307452 that divides 307452 without a remainder.
1, 2, 3, 4, 6, 12, 25621, 51242, 76863, 102484, 153726, 307452
Factors of 307458
List of positive integer factors of 307458 that divides 307458 without a remainder.
1, 2, 3, 6, 9, 18, 19, 29, 31, 38, 57, 58, 62, 87, 93, 114, 171, 174, 186, 261, 279, 342, 522, 551, 558, 589, 899, 1102, 1178, 1653, 1767, 1798, 2697, 3306, 3534, 4959, 5301, 5394, 8091, 9918, 10602, 16182, 17081, 34162, 51243, 102486, 153729, 307458
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307452 and 307458, than apply into the LCM equation.
GCF(307452,307458) = 6
LCM(307452,307458) = ( 307452 × 307458) / 6
LCM(307452,307458) = 94528577016 / 6
LCM(307452,307458) = 15754762836
(i) The LCM of 307458 and 307452 is associative
LCM of 307452 and 307458 = LCM of 307458 and 307452
1. What is the LCM of 307452 and 307458?
Answer: LCM of 307452 and 307458 is 15754762836.
2. What are the Factors of 307452?
Answer: Factors of 307452 are 1, 2, 3, 4, 6, 12, 25621, 51242, 76863, 102484, 153726, 307452. There are 12 integers that are factors of 307452. The greatest factor of 307452 is 307452.
3. What are the Factors of 307458?
Answer: Factors of 307458 are 1, 2, 3, 6, 9, 18, 19, 29, 31, 38, 57, 58, 62, 87, 93, 114, 171, 174, 186, 261, 279, 342, 522, 551, 558, 589, 899, 1102, 1178, 1653, 1767, 1798, 2697, 3306, 3534, 4959, 5301, 5394, 8091, 9918, 10602, 16182, 17081, 34162, 51243, 102486, 153729, 307458. There are 48 integers that are factors of 307458. The greatest factor of 307458 is 307458.
4. How to Find the LCM of 307452 and 307458?
Answer:
Least Common Multiple of 307452 and 307458 = 15754762836
Step 1: Find the prime factorization of 307452
307452 = 2 x 2 x 3 x 25621
Step 2: Find the prime factorization of 307458
307458 = 2 x 3 x 3 x 19 x 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15754762836 = 2 x 2 x 3 x 3 x 19 x 29 x 31 x 25621
Step 4: Therefore, the least common multiple of 307452 and 307458 is 15754762836.