What is the Least Common Multiple of 8515 and 8528?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 8515 and 8528 is 5585840.
LCM(8515,8528) = 5585840
Least Common Multiple of 8515 and 8528 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8515 and 8528, than apply into the LCM equation.
GCF(8515,8528) = 13
LCM(8515,8528) = ( 8515 × 8528) / 13
LCM(8515,8528) = 72615920 / 13
LCM(8515,8528) = 5585840
Least Common Multiple (LCM) of 8515 and 8528 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8515 and 8528. First we will calculate the prime factors of 8515 and 8528.
Prime Factorization of 8515
Prime factors of 8515 are 5, 13, 131. Prime factorization of 8515 in exponential form is:
8515 = 51 × 131 × 1311
Prime Factorization of 8528
Prime factors of 8528 are 2, 13, 41. Prime factorization of 8528 in exponential form is:
8528 = 24 × 131 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 8515 and 8528.
LCM(8515,8528) = 51 × 131 × 1311 × 24 × 411
LCM(8515,8528) = 5585840
Related Least Common Multiples of 8515
- LCM of 8515 and 8519
- LCM of 8515 and 8520
- LCM of 8515 and 8521
- LCM of 8515 and 8522
- LCM of 8515 and 8523
- LCM of 8515 and 8524
- LCM of 8515 and 8525
- LCM of 8515 and 8526
- LCM of 8515 and 8527
- LCM of 8515 and 8528
- LCM of 8515 and 8529
- LCM of 8515 and 8530
- LCM of 8515 and 8531
- LCM of 8515 and 8532
- LCM of 8515 and 8533
- LCM of 8515 and 8534
- LCM of 8515 and 8535
Related Least Common Multiples of 8528
- LCM of 8528 and 8532
- LCM of 8528 and 8533
- LCM of 8528 and 8534
- LCM of 8528 and 8535
- LCM of 8528 and 8536
- LCM of 8528 and 8537
- LCM of 8528 and 8538
- LCM of 8528 and 8539
- LCM of 8528 and 8540
- LCM of 8528 and 8541
- LCM of 8528 and 8542
- LCM of 8528 and 8543
- LCM of 8528 and 8544
- LCM of 8528 and 8545
- LCM of 8528 and 8546
- LCM of 8528 and 8547
- LCM of 8528 and 8548