What is the Least Common Multiple of 30500 and 30518?
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 30500 and 30518 is 465399500.
LCM(30500,30518) = 465399500
Least Common Multiple of 30500 and 30518 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30500 and 30518, than apply into the LCM equation.
GCF(30500,30518) = 2
LCM(30500,30518) = ( 30500 × 30518) / 2
LCM(30500,30518) = 930799000 / 2
LCM(30500,30518) = 465399500
Least Common Multiple (LCM) of 30500 and 30518 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30500 and 30518. First we will calculate the prime factors of 30500 and 30518.
Prime Factorization of 30500
Prime factors of 30500 are 2, 5, 61. Prime factorization of 30500 in exponential form is:
30500 = 22 × 53 × 611
Prime Factorization of 30518
Prime factors of 30518 are 2, 15259. Prime factorization of 30518 in exponential form is:
30518 = 21 × 152591
Now multiplying the highest exponent prime factors to calculate the LCM of 30500 and 30518.
LCM(30500,30518) = 22 × 53 × 611 × 152591
LCM(30500,30518) = 465399500
Related Least Common Multiples of 30500
- LCM of 30500 and 30504
- LCM of 30500 and 30505
- LCM of 30500 and 30506
- LCM of 30500 and 30507
- LCM of 30500 and 30508
- LCM of 30500 and 30509
- LCM of 30500 and 30510
- LCM of 30500 and 30511
- LCM of 30500 and 30512
- LCM of 30500 and 30513
- LCM of 30500 and 30514
- LCM of 30500 and 30515
- LCM of 30500 and 30516
- LCM of 30500 and 30517
- LCM of 30500 and 30518
- LCM of 30500 and 30519
- LCM of 30500 and 30520
Related Least Common Multiples of 30518
- LCM of 30518 and 30522
- LCM of 30518 and 30523
- LCM of 30518 and 30524
- LCM of 30518 and 30525
- LCM of 30518 and 30526
- LCM of 30518 and 30527
- LCM of 30518 and 30528
- LCM of 30518 and 30529
- LCM of 30518 and 30530
- LCM of 30518 and 30531
- LCM of 30518 and 30532
- LCM of 30518 and 30533
- LCM of 30518 and 30534
- LCM of 30518 and 30535
- LCM of 30518 and 30536
- LCM of 30518 and 30537
- LCM of 30518 and 30538