What is the Least Common Multiple of 94579 and 94594?
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 94579 and 94594 is 8946605926.
LCM(94579,94594) = 8946605926
Least Common Multiple of 94579 and 94594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94579 and 94594, than apply into the LCM equation.
GCF(94579,94594) = 1
LCM(94579,94594) = ( 94579 × 94594) / 1
LCM(94579,94594) = 8946605926 / 1
LCM(94579,94594) = 8946605926
Least Common Multiple (LCM) of 94579 and 94594 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94579 and 94594. First we will calculate the prime factors of 94579 and 94594.
Prime Factorization of 94579
Prime factors of 94579 are 271, 349. Prime factorization of 94579 in exponential form is:
94579 = 2711 × 3491
Prime Factorization of 94594
Prime factors of 94594 are 2, 47297. Prime factorization of 94594 in exponential form is:
94594 = 21 × 472971
Now multiplying the highest exponent prime factors to calculate the LCM of 94579 and 94594.
LCM(94579,94594) = 2711 × 3491 × 21 × 472971
LCM(94579,94594) = 8946605926
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