What is the Least Common Multiple of 94863 and 94867?
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 94863 and 94867 is 8999368221.
LCM(94863,94867) = 8999368221
Least Common Multiple of 94863 and 94867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94863 and 94867, than apply into the LCM equation.
GCF(94863,94867) = 1
LCM(94863,94867) = ( 94863 × 94867) / 1
LCM(94863,94867) = 8999368221 / 1
LCM(94863,94867) = 8999368221
Least Common Multiple (LCM) of 94863 and 94867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94863 and 94867. First we will calculate the prime factors of 94863 and 94867.
Prime Factorization of 94863
Prime factors of 94863 are 3, 103, 307. Prime factorization of 94863 in exponential form is:
94863 = 31 × 1031 × 3071
Prime Factorization of 94867
Prime factors of 94867 are 19, 4993. Prime factorization of 94867 in exponential form is:
94867 = 191 × 49931
Now multiplying the highest exponent prime factors to calculate the LCM of 94863 and 94867.
LCM(94863,94867) = 31 × 1031 × 3071 × 191 × 49931
LCM(94863,94867) = 8999368221
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