What is the Least Common Multiple of 94273 and 94289?
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 94273 and 94289 is 8888906897.
LCM(94273,94289) = 8888906897
Least Common Multiple of 94273 and 94289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94273 and 94289, than apply into the LCM equation.
GCF(94273,94289) = 1
LCM(94273,94289) = ( 94273 × 94289) / 1
LCM(94273,94289) = 8888906897 / 1
LCM(94273,94289) = 8888906897
Least Common Multiple (LCM) of 94273 and 94289 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94273 and 94289. First we will calculate the prime factors of 94273 and 94289.
Prime Factorization of 94273
Prime factors of 94273 are 94273. Prime factorization of 94273 in exponential form is:
94273 = 942731
Prime Factorization of 94289
Prime factors of 94289 are 13, 7253. Prime factorization of 94289 in exponential form is:
94289 = 131 × 72531
Now multiplying the highest exponent prime factors to calculate the LCM of 94273 and 94289.
LCM(94273,94289) = 942731 × 131 × 72531
LCM(94273,94289) = 8888906897
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