What is the Least Common Multiple of 94265 and 94283?
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 94265 and 94283 is 8887586995.
LCM(94265,94283) = 8887586995
Least Common Multiple of 94265 and 94283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94265 and 94283, than apply into the LCM equation.
GCF(94265,94283) = 1
LCM(94265,94283) = ( 94265 × 94283) / 1
LCM(94265,94283) = 8887586995 / 1
LCM(94265,94283) = 8887586995
Least Common Multiple (LCM) of 94265 and 94283 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94265 and 94283. First we will calculate the prime factors of 94265 and 94283.
Prime Factorization of 94265
Prime factors of 94265 are 5, 17, 1109. Prime factorization of 94265 in exponential form is:
94265 = 51 × 171 × 11091
Prime Factorization of 94283
Prime factors of 94283 are 7, 13469. Prime factorization of 94283 in exponential form is:
94283 = 71 × 134691
Now multiplying the highest exponent prime factors to calculate the LCM of 94265 and 94283.
LCM(94265,94283) = 51 × 171 × 11091 × 71 × 134691
LCM(94265,94283) = 8887586995
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