What is the Least Common Multiple of 92845 and 92863?
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 92845 and 92863 is 8621865235.
LCM(92845,92863) = 8621865235
Least Common Multiple of 92845 and 92863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92845 and 92863, than apply into the LCM equation.
GCF(92845,92863) = 1
LCM(92845,92863) = ( 92845 × 92863) / 1
LCM(92845,92863) = 8621865235 / 1
LCM(92845,92863) = 8621865235
Least Common Multiple (LCM) of 92845 and 92863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92845 and 92863. First we will calculate the prime factors of 92845 and 92863.
Prime Factorization of 92845
Prime factors of 92845 are 5, 31, 599. Prime factorization of 92845 in exponential form is:
92845 = 51 × 311 × 5991
Prime Factorization of 92863
Prime factors of 92863 are 92863. Prime factorization of 92863 in exponential form is:
92863 = 928631
Now multiplying the highest exponent prime factors to calculate the LCM of 92845 and 92863.
LCM(92845,92863) = 51 × 311 × 5991 × 928631
LCM(92845,92863) = 8621865235
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