What is the Least Common Multiple of 94197 and 94217?
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 94197 and 94217 is 8874958749.
LCM(94197,94217) = 8874958749
Least Common Multiple of 94197 and 94217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94197 and 94217, than apply into the LCM equation.
GCF(94197,94217) = 1
LCM(94197,94217) = ( 94197 × 94217) / 1
LCM(94197,94217) = 8874958749 / 1
LCM(94197,94217) = 8874958749
Least Common Multiple (LCM) of 94197 and 94217 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94197 and 94217. First we will calculate the prime factors of 94197 and 94217.
Prime Factorization of 94197
Prime factors of 94197 are 3, 17, 1847. Prime factorization of 94197 in exponential form is:
94197 = 31 × 171 × 18471
Prime Factorization of 94217
Prime factors of 94217 are 71, 1327. Prime factorization of 94217 in exponential form is:
94217 = 711 × 13271
Now multiplying the highest exponent prime factors to calculate the LCM of 94197 and 94217.
LCM(94197,94217) = 31 × 171 × 18471 × 711 × 13271
LCM(94197,94217) = 8874958749
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