What is the Least Common Multiple of 94558 and 94578?
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 94558 and 94578 is 4471553262.
LCM(94558,94578) = 4471553262
Least Common Multiple of 94558 and 94578 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94558 and 94578, than apply into the LCM equation.
GCF(94558,94578) = 2
LCM(94558,94578) = ( 94558 × 94578) / 2
LCM(94558,94578) = 8943106524 / 2
LCM(94558,94578) = 4471553262
Least Common Multiple (LCM) of 94558 and 94578 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94558 and 94578. First we will calculate the prime factors of 94558 and 94578.
Prime Factorization of 94558
Prime factors of 94558 are 2, 47279. Prime factorization of 94558 in exponential form is:
94558 = 21 × 472791
Prime Factorization of 94578
Prime factors of 94578 are 2, 3, 11, 1433. Prime factorization of 94578 in exponential form is:
94578 = 21 × 31 × 111 × 14331
Now multiplying the highest exponent prime factors to calculate the LCM of 94558 and 94578.
LCM(94558,94578) = 21 × 472791 × 31 × 111 × 14331
LCM(94558,94578) = 4471553262
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