What is the Least Common Multiple of 94511 and 94516?
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 94511 and 94516 is 8932801676.
LCM(94511,94516) = 8932801676
Least Common Multiple of 94511 and 94516 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94511 and 94516, than apply into the LCM equation.
GCF(94511,94516) = 1
LCM(94511,94516) = ( 94511 × 94516) / 1
LCM(94511,94516) = 8932801676 / 1
LCM(94511,94516) = 8932801676
Least Common Multiple (LCM) of 94511 and 94516 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94511 and 94516. First we will calculate the prime factors of 94511 and 94516.
Prime Factorization of 94511
Prime factors of 94511 are 29, 3259. Prime factorization of 94511 in exponential form is:
94511 = 291 × 32591
Prime Factorization of 94516
Prime factors of 94516 are 2, 23629. Prime factorization of 94516 in exponential form is:
94516 = 22 × 236291
Now multiplying the highest exponent prime factors to calculate the LCM of 94511 and 94516.
LCM(94511,94516) = 291 × 32591 × 22 × 236291
LCM(94511,94516) = 8932801676
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