What is the Least Common Multiple of 94254 and 94273?
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 94254 and 94273 is 8885607342.
LCM(94254,94273) = 8885607342
Least Common Multiple of 94254 and 94273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94254 and 94273, than apply into the LCM equation.
GCF(94254,94273) = 1
LCM(94254,94273) = ( 94254 × 94273) / 1
LCM(94254,94273) = 8885607342 / 1
LCM(94254,94273) = 8885607342
Least Common Multiple (LCM) of 94254 and 94273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94254 and 94273. First we will calculate the prime factors of 94254 and 94273.
Prime Factorization of 94254
Prime factors of 94254 are 2, 3, 23, 683. Prime factorization of 94254 in exponential form is:
94254 = 21 × 31 × 231 × 6831
Prime Factorization of 94273
Prime factors of 94273 are 94273. Prime factorization of 94273 in exponential form is:
94273 = 942731
Now multiplying the highest exponent prime factors to calculate the LCM of 94254 and 94273.
LCM(94254,94273) = 21 × 31 × 231 × 6831 × 942731
LCM(94254,94273) = 8885607342
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