What is the Least Common Multiple of 94198 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 94198 and 94217 is 8875052966.
LCM(94198,94217) = 8875052966
Least Common Multiple of 94198 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 94198 and 94217, than apply into the LCM equation.
GCF(94198,94217) = 1
LCM(94198,94217) = ( 94198 × 94217) / 1
LCM(94198,94217) = 8875052966 / 1
LCM(94198,94217) = 8875052966
Least Common Multiple (LCM) of 94198 and 94217 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94198 and 94217. First we will calculate the prime factors of 94198 and 94217.
Prime Factorization of 94198
Prime factors of 94198 are 2, 13, 3623. Prime factorization of 94198 in exponential form is:
94198 = 21 × 131 × 36231
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 94198 and 94217.
LCM(94198,94217) = 21 × 131 × 36231 × 711 × 13271
LCM(94198,94217) = 8875052966
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