What is the Least Common Multiple of 94127 and 94147?
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 94127 and 94147 is 8861774669.
LCM(94127,94147) = 8861774669
Least Common Multiple of 94127 and 94147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94127 and 94147, than apply into the LCM equation.
GCF(94127,94147) = 1
LCM(94127,94147) = ( 94127 × 94147) / 1
LCM(94127,94147) = 8861774669 / 1
LCM(94127,94147) = 8861774669
Least Common Multiple (LCM) of 94127 and 94147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94127 and 94147. First we will calculate the prime factors of 94127 and 94147.
Prime Factorization of 94127
Prime factors of 94127 are 11, 43, 199. Prime factorization of 94127 in exponential form is:
94127 = 111 × 431 × 1991
Prime Factorization of 94147
Prime factors of 94147 are 31, 3037. Prime factorization of 94147 in exponential form is:
94147 = 311 × 30371
Now multiplying the highest exponent prime factors to calculate the LCM of 94127 and 94147.
LCM(94127,94147) = 111 × 431 × 1991 × 311 × 30371
LCM(94127,94147) = 8861774669
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