What is the Least Common Multiple of 30518 and 30528?
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 30518 and 30528 is 465826752.
LCM(30518,30528) = 465826752
Least Common Multiple of 30518 and 30528 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30518 and 30528, than apply into the LCM equation.
GCF(30518,30528) = 2
LCM(30518,30528) = ( 30518 × 30528) / 2
LCM(30518,30528) = 931653504 / 2
LCM(30518,30528) = 465826752
Least Common Multiple (LCM) of 30518 and 30528 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30518 and 30528. First we will calculate the prime factors of 30518 and 30528.
Prime Factorization of 30518
Prime factors of 30518 are 2, 15259. Prime factorization of 30518 in exponential form is:
30518 = 21 × 152591
Prime Factorization of 30528
Prime factors of 30528 are 2, 3, 53. Prime factorization of 30528 in exponential form is:
30528 = 26 × 32 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 30518 and 30528.
LCM(30518,30528) = 26 × 152591 × 32 × 531
LCM(30518,30528) = 465826752
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