What is the Least Common Multiple of 94467 and 94487?
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 94467 and 94487 is 8925903429.
LCM(94467,94487) = 8925903429
Least Common Multiple of 94467 and 94487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94467 and 94487, than apply into the LCM equation.
GCF(94467,94487) = 1
LCM(94467,94487) = ( 94467 × 94487) / 1
LCM(94467,94487) = 8925903429 / 1
LCM(94467,94487) = 8925903429
Least Common Multiple (LCM) of 94467 and 94487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94467 and 94487. First we will calculate the prime factors of 94467 and 94487.
Prime Factorization of 94467
Prime factors of 94467 are 3, 31489. Prime factorization of 94467 in exponential form is:
94467 = 31 × 314891
Prime Factorization of 94487
Prime factors of 94487 are 19, 4973. Prime factorization of 94487 in exponential form is:
94487 = 191 × 49731
Now multiplying the highest exponent prime factors to calculate the LCM of 94467 and 94487.
LCM(94467,94487) = 31 × 314891 × 191 × 49731
LCM(94467,94487) = 8925903429
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