What is the Least Common Multiple of 94047 and 94066?
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 94047 and 94066 is 8846625102.
LCM(94047,94066) = 8846625102
Least Common Multiple of 94047 and 94066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94047 and 94066, than apply into the LCM equation.
GCF(94047,94066) = 1
LCM(94047,94066) = ( 94047 × 94066) / 1
LCM(94047,94066) = 8846625102 / 1
LCM(94047,94066) = 8846625102
Least Common Multiple (LCM) of 94047 and 94066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94047 and 94066. First we will calculate the prime factors of 94047 and 94066.
Prime Factorization of 94047
Prime factors of 94047 are 3, 23, 29, 47. Prime factorization of 94047 in exponential form is:
94047 = 31 × 231 × 291 × 471
Prime Factorization of 94066
Prime factors of 94066 are 2, 7, 6719. Prime factorization of 94066 in exponential form is:
94066 = 21 × 71 × 67191
Now multiplying the highest exponent prime factors to calculate the LCM of 94047 and 94066.
LCM(94047,94066) = 31 × 231 × 291 × 471 × 21 × 71 × 67191
LCM(94047,94066) = 8846625102
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