What is the Least Common Multiple of 32478 and 32498?
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 32478 and 32498 is 527735022.
LCM(32478,32498) = 527735022
Least Common Multiple of 32478 and 32498 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32478 and 32498, than apply into the LCM equation.
GCF(32478,32498) = 2
LCM(32478,32498) = ( 32478 × 32498) / 2
LCM(32478,32498) = 1055470044 / 2
LCM(32478,32498) = 527735022
Least Common Multiple (LCM) of 32478 and 32498 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32478 and 32498. First we will calculate the prime factors of 32478 and 32498.
Prime Factorization of 32478
Prime factors of 32478 are 2, 3, 5413. Prime factorization of 32478 in exponential form is:
32478 = 21 × 31 × 54131
Prime Factorization of 32498
Prime factors of 32498 are 2, 16249. Prime factorization of 32498 in exponential form is:
32498 = 21 × 162491
Now multiplying the highest exponent prime factors to calculate the LCM of 32478 and 32498.
LCM(32478,32498) = 21 × 31 × 54131 × 162491
LCM(32478,32498) = 527735022
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