What is the Least Common Multiple of 94050 and 94063?
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 94050 and 94063 is 8846625150.
LCM(94050,94063) = 8846625150
Least Common Multiple of 94050 and 94063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94050 and 94063, than apply into the LCM equation.
GCF(94050,94063) = 1
LCM(94050,94063) = ( 94050 × 94063) / 1
LCM(94050,94063) = 8846625150 / 1
LCM(94050,94063) = 8846625150
Least Common Multiple (LCM) of 94050 and 94063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94050 and 94063. First we will calculate the prime factors of 94050 and 94063.
Prime Factorization of 94050
Prime factors of 94050 are 2, 3, 5, 11, 19. Prime factorization of 94050 in exponential form is:
94050 = 21 × 32 × 52 × 111 × 191
Prime Factorization of 94063
Prime factors of 94063 are 94063. Prime factorization of 94063 in exponential form is:
94063 = 940631
Now multiplying the highest exponent prime factors to calculate the LCM of 94050 and 94063.
LCM(94050,94063) = 21 × 32 × 52 × 111 × 191 × 940631
LCM(94050,94063) = 8846625150
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