What is the Least Common Multiple of 94046 and 94065?
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 94046 and 94065 is 8846436990.
LCM(94046,94065) = 8846436990
Least Common Multiple of 94046 and 94065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94046 and 94065, than apply into the LCM equation.
GCF(94046,94065) = 1
LCM(94046,94065) = ( 94046 × 94065) / 1
LCM(94046,94065) = 8846436990 / 1
LCM(94046,94065) = 8846436990
Least Common Multiple (LCM) of 94046 and 94065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94046 and 94065. First we will calculate the prime factors of 94046 and 94065.
Prime Factorization of 94046
Prime factors of 94046 are 2, 59, 797. Prime factorization of 94046 in exponential form is:
94046 = 21 × 591 × 7971
Prime Factorization of 94065
Prime factors of 94065 are 3, 5, 6271. Prime factorization of 94065 in exponential form is:
94065 = 31 × 51 × 62711
Now multiplying the highest exponent prime factors to calculate the LCM of 94046 and 94065.
LCM(94046,94065) = 21 × 591 × 7971 × 31 × 51 × 62711
LCM(94046,94065) = 8846436990
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