What is the Least Common Multiple of 94859 and 94878?
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 94859 and 94878 is 9000032202.
LCM(94859,94878) = 9000032202
Least Common Multiple of 94859 and 94878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94859 and 94878, than apply into the LCM equation.
GCF(94859,94878) = 1
LCM(94859,94878) = ( 94859 × 94878) / 1
LCM(94859,94878) = 9000032202 / 1
LCM(94859,94878) = 9000032202
Least Common Multiple (LCM) of 94859 and 94878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94859 and 94878. First we will calculate the prime factors of 94859 and 94878.
Prime Factorization of 94859
Prime factors of 94859 are 29, 3271. Prime factorization of 94859 in exponential form is:
94859 = 291 × 32711
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
Now multiplying the highest exponent prime factors to calculate the LCM of 94859 and 94878.
LCM(94859,94878) = 291 × 32711 × 21 × 33 × 71 × 2511
LCM(94859,94878) = 9000032202
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