What is the Least Common Multiple of 94093 and 94110?
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 94093 and 94110 is 8855092230.
LCM(94093,94110) = 8855092230
Least Common Multiple of 94093 and 94110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94093 and 94110, than apply into the LCM equation.
GCF(94093,94110) = 1
LCM(94093,94110) = ( 94093 × 94110) / 1
LCM(94093,94110) = 8855092230 / 1
LCM(94093,94110) = 8855092230
Least Common Multiple (LCM) of 94093 and 94110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94093 and 94110. First we will calculate the prime factors of 94093 and 94110.
Prime Factorization of 94093
Prime factors of 94093 are 23, 4091. Prime factorization of 94093 in exponential form is:
94093 = 231 × 40911
Prime Factorization of 94110
Prime factors of 94110 are 2, 3, 5, 3137. Prime factorization of 94110 in exponential form is:
94110 = 21 × 31 × 51 × 31371
Now multiplying the highest exponent prime factors to calculate the LCM of 94093 and 94110.
LCM(94093,94110) = 231 × 40911 × 21 × 31 × 51 × 31371
LCM(94093,94110) = 8855092230
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