What is the Least Common Multiple of 30512 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 30512 and 30518 is 465582608.
LCM(30512,30518) = 465582608
Least Common Multiple of 30512 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 30512 and 30518, than apply into the LCM equation.
GCF(30512,30518) = 2
LCM(30512,30518) = ( 30512 × 30518) / 2
LCM(30512,30518) = 931165216 / 2
LCM(30512,30518) = 465582608
Least Common Multiple (LCM) of 30512 and 30518 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30512 and 30518. First we will calculate the prime factors of 30512 and 30518.
Prime Factorization of 30512
Prime factors of 30512 are 2, 1907. Prime factorization of 30512 in exponential form is:
30512 = 24 × 19071
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 30512 and 30518.
LCM(30512,30518) = 24 × 19071 × 152591
LCM(30512,30518) = 465582608
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