What is the Least Common Multiple of 94166 and 94178?
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 94166 and 94178 is 4434182774.
LCM(94166,94178) = 4434182774
Least Common Multiple of 94166 and 94178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94166 and 94178, than apply into the LCM equation.
GCF(94166,94178) = 2
LCM(94166,94178) = ( 94166 × 94178) / 2
LCM(94166,94178) = 8868365548 / 2
LCM(94166,94178) = 4434182774
Least Common Multiple (LCM) of 94166 and 94178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94166 and 94178. First we will calculate the prime factors of 94166 and 94178.
Prime Factorization of 94166
Prime factors of 94166 are 2, 197, 239. Prime factorization of 94166 in exponential form is:
94166 = 21 × 1971 × 2391
Prime Factorization of 94178
Prime factors of 94178 are 2, 7, 31. Prime factorization of 94178 in exponential form is:
94178 = 21 × 72 × 312
Now multiplying the highest exponent prime factors to calculate the LCM of 94166 and 94178.
LCM(94166,94178) = 21 × 1971 × 2391 × 72 × 312
LCM(94166,94178) = 4434182774
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