What is the Least Common Multiple of 30504 and 30511?
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 30504 and 30511 is 930707544.
LCM(30504,30511) = 930707544
Least Common Multiple of 30504 and 30511 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30504 and 30511, than apply into the LCM equation.
GCF(30504,30511) = 1
LCM(30504,30511) = ( 30504 × 30511) / 1
LCM(30504,30511) = 930707544 / 1
LCM(30504,30511) = 930707544
Least Common Multiple (LCM) of 30504 and 30511 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30504 and 30511. First we will calculate the prime factors of 30504 and 30511.
Prime Factorization of 30504
Prime factors of 30504 are 2, 3, 31, 41. Prime factorization of 30504 in exponential form is:
30504 = 23 × 31 × 311 × 411
Prime Factorization of 30511
Prime factors of 30511 are 13, 2347. Prime factorization of 30511 in exponential form is:
30511 = 131 × 23471
Now multiplying the highest exponent prime factors to calculate the LCM of 30504 and 30511.
LCM(30504,30511) = 23 × 31 × 311 × 411 × 131 × 23471
LCM(30504,30511) = 930707544
Related Least Common Multiples of 30504
- LCM of 30504 and 30508
- LCM of 30504 and 30509
- LCM of 30504 and 30510
- LCM of 30504 and 30511
- LCM of 30504 and 30512
- LCM of 30504 and 30513
- LCM of 30504 and 30514
- LCM of 30504 and 30515
- LCM of 30504 and 30516
- LCM of 30504 and 30517
- LCM of 30504 and 30518
- LCM of 30504 and 30519
- LCM of 30504 and 30520
- LCM of 30504 and 30521
- LCM of 30504 and 30522
- LCM of 30504 and 30523
- LCM of 30504 and 30524
Related Least Common Multiples of 30511
- LCM of 30511 and 30515
- LCM of 30511 and 30516
- LCM of 30511 and 30517
- LCM of 30511 and 30518
- LCM of 30511 and 30519
- LCM of 30511 and 30520
- LCM of 30511 and 30521
- LCM of 30511 and 30522
- LCM of 30511 and 30523
- LCM of 30511 and 30524
- LCM of 30511 and 30525
- LCM of 30511 and 30526
- LCM of 30511 and 30527
- LCM of 30511 and 30528
- LCM of 30511 and 30529
- LCM of 30511 and 30530
- LCM of 30511 and 30531