What is the Least Common Multiple of 94471 and 94484?
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 94471 and 94484 is 686615228.
LCM(94471,94484) = 686615228
Least Common Multiple of 94471 and 94484 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94471 and 94484, than apply into the LCM equation.
GCF(94471,94484) = 13
LCM(94471,94484) = ( 94471 × 94484) / 13
LCM(94471,94484) = 8925997964 / 13
LCM(94471,94484) = 686615228
Least Common Multiple (LCM) of 94471 and 94484 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94471 and 94484. First we will calculate the prime factors of 94471 and 94484.
Prime Factorization of 94471
Prime factors of 94471 are 13, 43. Prime factorization of 94471 in exponential form is:
94471 = 133 × 431
Prime Factorization of 94484
Prime factors of 94484 are 2, 13, 23, 79. Prime factorization of 94484 in exponential form is:
94484 = 22 × 131 × 231 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 94471 and 94484.
LCM(94471,94484) = 133 × 431 × 22 × 231 × 791
LCM(94471,94484) = 686615228
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