What is the Least Common Multiple of 94878 and 94883?
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 94878 and 94883 is 9002309274.
LCM(94878,94883) = 9002309274
Least Common Multiple of 94878 and 94883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94878 and 94883, than apply into the LCM equation.
GCF(94878,94883) = 1
LCM(94878,94883) = ( 94878 × 94883) / 1
LCM(94878,94883) = 9002309274 / 1
LCM(94878,94883) = 9002309274
Least Common Multiple (LCM) of 94878 and 94883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94878 and 94883. First we will calculate the prime factors of 94878 and 94883.
Prime Factorization of 94878
Prime factors of 94878 are 2, 3, 7, 251. Prime factorization of 94878 in exponential form is:
94878 = 21 × 33 × 71 × 2511
Prime Factorization of 94883
Prime factors of 94883 are 239, 397. Prime factorization of 94883 in exponential form is:
94883 = 2391 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 94878 and 94883.
LCM(94878,94883) = 21 × 33 × 71 × 2511 × 2391 × 3971
LCM(94878,94883) = 9002309274
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