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 307459 the smallest integer that is 94528884468 that is divisible by both numbers.
Least Common Multiple (LCM) of 307452 and 307459 is 94528884468.
LCM(307452,307459) = 94528884468
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 307459. First we will calculate the prime factors of 307452 and 307459.
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 307459
41 | 307459 |
7499 | 7499 |
1 |
Prime factors of 307459 are 41,7499. Prime factorization of 307459 in exponential form is:
307459 = 411×74991
Now multiplying the highest exponent prime factors to calculate the LCM of 307452 and 307459.
LCM(307452,307459) = 22×31×411×74991×256211
LCM(307452,307459) = 94528884468
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 307459
List of positive integer factors of 307459 that divides 307459 without a remainder.
1, 41, 7499, 307459
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307452 and 307459, than apply into the LCM equation.
GCF(307452,307459) = 1
LCM(307452,307459) = ( 307452 × 307459) / 1
LCM(307452,307459) = 94528884468 / 1
LCM(307452,307459) = 94528884468
(i) The LCM of 307459 and 307452 is associative
LCM of 307452 and 307459 = LCM of 307459 and 307452
1. What is the LCM of 307452 and 307459?
Answer: LCM of 307452 and 307459 is 94528884468.
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 307459?
Answer: Factors of 307459 are 1, 41, 7499, 307459. There are 4 integers that are factors of 307459. The greatest factor of 307459 is 307459.
4. How to Find the LCM of 307452 and 307459?
Answer:
Least Common Multiple of 307452 and 307459 = 94528884468
Step 1: Find the prime factorization of 307452
307452 = 2 x 2 x 3 x 25621
Step 2: Find the prime factorization of 307459
307459 = 41 x 7499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94528884468 = 2 x 2 x 3 x 41 x 7499 x 25621
Step 4: Therefore, the least common multiple of 307452 and 307459 is 94528884468.