What is the Least Common Multiple of 94051 and 94059?
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 94051 and 94059 is 8846343009.
LCM(94051,94059) = 8846343009
Least Common Multiple of 94051 and 94059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94051 and 94059, than apply into the LCM equation.
GCF(94051,94059) = 1
LCM(94051,94059) = ( 94051 × 94059) / 1
LCM(94051,94059) = 8846343009 / 1
LCM(94051,94059) = 8846343009
Least Common Multiple (LCM) of 94051 and 94059 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94051 and 94059. First we will calculate the prime factors of 94051 and 94059.
Prime Factorization of 94051
Prime factors of 94051 are 163, 577. Prime factorization of 94051 in exponential form is:
94051 = 1631 × 5771
Prime Factorization of 94059
Prime factors of 94059 are 3, 7, 1493. Prime factorization of 94059 in exponential form is:
94059 = 32 × 71 × 14931
Now multiplying the highest exponent prime factors to calculate the LCM of 94051 and 94059.
LCM(94051,94059) = 1631 × 5771 × 32 × 71 × 14931
LCM(94051,94059) = 8846343009
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