What is the Least Common Multiple of 94067 and 94085?
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 94067 and 94085 is 8850293695.
LCM(94067,94085) = 8850293695
Least Common Multiple of 94067 and 94085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94067 and 94085, than apply into the LCM equation.
GCF(94067,94085) = 1
LCM(94067,94085) = ( 94067 × 94085) / 1
LCM(94067,94085) = 8850293695 / 1
LCM(94067,94085) = 8850293695
Least Common Multiple (LCM) of 94067 and 94085 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94067 and 94085. First we will calculate the prime factors of 94067 and 94085.
Prime Factorization of 94067
Prime factors of 94067 are 109, 863. Prime factorization of 94067 in exponential form is:
94067 = 1091 × 8631
Prime Factorization of 94085
Prime factors of 94085 are 5, 31, 607. Prime factorization of 94085 in exponential form is:
94085 = 51 × 311 × 6071
Now multiplying the highest exponent prime factors to calculate the LCM of 94067 and 94085.
LCM(94067,94085) = 1091 × 8631 × 51 × 311 × 6071
LCM(94067,94085) = 8850293695
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