What is the Least Common Multiple of 30498 and 30505?
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 30505 is 930341490.
LCM(30498,30505) = 930341490
Least Common Multiple of 30498 and 30505 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 30505, than apply into the LCM equation.
GCF(30498,30505) = 1
LCM(30498,30505) = ( 30498 × 30505) / 1
LCM(30498,30505) = 930341490 / 1
LCM(30498,30505) = 930341490
Least Common Multiple (LCM) of 30498 and 30505 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30498 and 30505. First we will calculate the prime factors of 30498 and 30505.
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 30505
Prime factors of 30505 are 5, 6101. Prime factorization of 30505 in exponential form is:
30505 = 51 × 61011
Now multiplying the highest exponent prime factors to calculate the LCM of 30498 and 30505.
LCM(30498,30505) = 21 × 31 × 131 × 171 × 231 × 51 × 61011
LCM(30498,30505) = 930341490
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 30505
- LCM of 30505 and 30509
- LCM of 30505 and 30510
- LCM of 30505 and 30511
- LCM of 30505 and 30512
- LCM of 30505 and 30513
- LCM of 30505 and 30514
- LCM of 30505 and 30515
- LCM of 30505 and 30516
- LCM of 30505 and 30517
- LCM of 30505 and 30518
- LCM of 30505 and 30519
- LCM of 30505 and 30520
- LCM of 30505 and 30521
- LCM of 30505 and 30522
- LCM of 30505 and 30523
- LCM of 30505 and 30524
- LCM of 30505 and 30525