What is the Least Common Multiple of 94859 and 94876?
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 94876 is 8999842484.
LCM(94859,94876) = 8999842484
Least Common Multiple of 94859 and 94876 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 94876, than apply into the LCM equation.
GCF(94859,94876) = 1
LCM(94859,94876) = ( 94859 × 94876) / 1
LCM(94859,94876) = 8999842484 / 1
LCM(94859,94876) = 8999842484
Least Common Multiple (LCM) of 94859 and 94876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94859 and 94876. First we will calculate the prime factors of 94859 and 94876.
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 94876
Prime factors of 94876 are 2, 23719. Prime factorization of 94876 in exponential form is:
94876 = 22 × 237191
Now multiplying the highest exponent prime factors to calculate the LCM of 94859 and 94876.
LCM(94859,94876) = 291 × 32711 × 22 × 237191
LCM(94859,94876) = 8999842484
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