What is the Least Common Multiple of 94717 and 94727?
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 94717 and 94727 is 8972257259.
LCM(94717,94727) = 8972257259
Least Common Multiple of 94717 and 94727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94717 and 94727, than apply into the LCM equation.
GCF(94717,94727) = 1
LCM(94717,94727) = ( 94717 × 94727) / 1
LCM(94717,94727) = 8972257259 / 1
LCM(94717,94727) = 8972257259
Least Common Multiple (LCM) of 94717 and 94727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94717 and 94727. First we will calculate the prime factors of 94717 and 94727.
Prime Factorization of 94717
Prime factors of 94717 are 7, 1933. Prime factorization of 94717 in exponential form is:
94717 = 72 × 19331
Prime Factorization of 94727
Prime factors of 94727 are 94727. Prime factorization of 94727 in exponential form is:
94727 = 947271
Now multiplying the highest exponent prime factors to calculate the LCM of 94717 and 94727.
LCM(94717,94727) = 72 × 19331 × 947271
LCM(94717,94727) = 8972257259
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