What is the Least Common Multiple of 94147 and 94153?
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 94147 and 94153 is 8864222491.
LCM(94147,94153) = 8864222491
Least Common Multiple of 94147 and 94153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94147 and 94153, than apply into the LCM equation.
GCF(94147,94153) = 1
LCM(94147,94153) = ( 94147 × 94153) / 1
LCM(94147,94153) = 8864222491 / 1
LCM(94147,94153) = 8864222491
Least Common Multiple (LCM) of 94147 and 94153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94147 and 94153. First we will calculate the prime factors of 94147 and 94153.
Prime Factorization of 94147
Prime factors of 94147 are 31, 3037. Prime factorization of 94147 in exponential form is:
94147 = 311 × 30371
Prime Factorization of 94153
Prime factors of 94153 are 94153. Prime factorization of 94153 in exponential form is:
94153 = 941531
Now multiplying the highest exponent prime factors to calculate the LCM of 94147 and 94153.
LCM(94147,94153) = 311 × 30371 × 941531
LCM(94147,94153) = 8864222491
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