What is the Least Common Multiple of 94691 and 94705?
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 94691 and 94705 is 8967711155.
LCM(94691,94705) = 8967711155
Least Common Multiple of 94691 and 94705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94691 and 94705, than apply into the LCM equation.
GCF(94691,94705) = 1
LCM(94691,94705) = ( 94691 × 94705) / 1
LCM(94691,94705) = 8967711155 / 1
LCM(94691,94705) = 8967711155
Least Common Multiple (LCM) of 94691 and 94705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94691 and 94705. First we will calculate the prime factors of 94691 and 94705.
Prime Factorization of 94691
Prime factors of 94691 are 23, 179. Prime factorization of 94691 in exponential form is:
94691 = 232 × 1791
Prime Factorization of 94705
Prime factors of 94705 are 5, 13, 31, 47. Prime factorization of 94705 in exponential form is:
94705 = 51 × 131 × 311 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 94691 and 94705.
LCM(94691,94705) = 232 × 1791 × 51 × 131 × 311 × 471
LCM(94691,94705) = 8967711155
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