What is the Least Common Multiple of 94183 and 94194?
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 94183 and 94194 is 8871473502.
LCM(94183,94194) = 8871473502
Least Common Multiple of 94183 and 94194 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94183 and 94194, than apply into the LCM equation.
GCF(94183,94194) = 1
LCM(94183,94194) = ( 94183 × 94194) / 1
LCM(94183,94194) = 8871473502 / 1
LCM(94183,94194) = 8871473502
Least Common Multiple (LCM) of 94183 and 94194 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94183 and 94194. First we will calculate the prime factors of 94183 and 94194.
Prime Factorization of 94183
Prime factors of 94183 are 19, 4957. Prime factorization of 94183 in exponential form is:
94183 = 191 × 49571
Prime Factorization of 94194
Prime factors of 94194 are 2, 3, 5233. Prime factorization of 94194 in exponential form is:
94194 = 21 × 32 × 52331
Now multiplying the highest exponent prime factors to calculate the LCM of 94183 and 94194.
LCM(94183,94194) = 191 × 49571 × 21 × 32 × 52331
LCM(94183,94194) = 8871473502
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