What is the Least Common Multiple of 30498 and 30513?
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 30498 and 30513 is 310195158.
LCM(30498,30513) = 310195158
Least Common Multiple of 30498 and 30513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30498 and 30513, than apply into the LCM equation.
GCF(30498,30513) = 3
LCM(30498,30513) = ( 30498 × 30513) / 3
LCM(30498,30513) = 930585474 / 3
LCM(30498,30513) = 310195158
Least Common Multiple (LCM) of 30498 and 30513 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30498 and 30513. First we will calculate the prime factors of 30498 and 30513.
Prime Factorization of 30498
Prime factors of 30498 are 2, 3, 13, 17, 23. Prime factorization of 30498 in exponential form is:
30498 = 21 × 31 × 131 × 171 × 231
Prime Factorization of 30513
Prime factors of 30513 are 3, 7, 1453. Prime factorization of 30513 in exponential form is:
30513 = 31 × 71 × 14531
Now multiplying the highest exponent prime factors to calculate the LCM of 30498 and 30513.
LCM(30498,30513) = 21 × 31 × 131 × 171 × 231 × 71 × 14531
LCM(30498,30513) = 310195158
Related Least Common Multiples of 30498
- LCM of 30498 and 30502
- LCM of 30498 and 30503
- LCM of 30498 and 30504
- LCM of 30498 and 30505
- LCM of 30498 and 30506
- LCM of 30498 and 30507
- LCM of 30498 and 30508
- LCM of 30498 and 30509
- LCM of 30498 and 30510
- LCM of 30498 and 30511
- LCM of 30498 and 30512
- LCM of 30498 and 30513
- LCM of 30498 and 30514
- LCM of 30498 and 30515
- LCM of 30498 and 30516
- LCM of 30498 and 30517
- LCM of 30498 and 30518
Related Least Common Multiples of 30513
- LCM of 30513 and 30517
- LCM of 30513 and 30518
- LCM of 30513 and 30519
- LCM of 30513 and 30520
- LCM of 30513 and 30521
- LCM of 30513 and 30522
- LCM of 30513 and 30523
- LCM of 30513 and 30524
- LCM of 30513 and 30525
- LCM of 30513 and 30526
- LCM of 30513 and 30527
- LCM of 30513 and 30528
- LCM of 30513 and 30529
- LCM of 30513 and 30530
- LCM of 30513 and 30531
- LCM of 30513 and 30532
- LCM of 30513 and 30533