What is the Least Common Multiple of 94431 and 94441?
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 94431 and 94441 is 8918158071.
LCM(94431,94441) = 8918158071
Least Common Multiple of 94431 and 94441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94431 and 94441, than apply into the LCM equation.
GCF(94431,94441) = 1
LCM(94431,94441) = ( 94431 × 94441) / 1
LCM(94431,94441) = 8918158071 / 1
LCM(94431,94441) = 8918158071
Least Common Multiple (LCM) of 94431 and 94441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94431 and 94441. First we will calculate the prime factors of 94431 and 94441.
Prime Factorization of 94431
Prime factors of 94431 are 3, 31477. Prime factorization of 94431 in exponential form is:
94431 = 31 × 314771
Prime Factorization of 94441
Prime factors of 94441 are 94441. Prime factorization of 94441 in exponential form is:
94441 = 944411
Now multiplying the highest exponent prime factors to calculate the LCM of 94431 and 94441.
LCM(94431,94441) = 31 × 314771 × 944411
LCM(94431,94441) = 8918158071
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