What is the Least Common Multiple of 94187 and 94191?
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 94187 and 94191 is 8871567717.
LCM(94187,94191) = 8871567717
Least Common Multiple of 94187 and 94191 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94187 and 94191, than apply into the LCM equation.
GCF(94187,94191) = 1
LCM(94187,94191) = ( 94187 × 94191) / 1
LCM(94187,94191) = 8871567717 / 1
LCM(94187,94191) = 8871567717
Least Common Multiple (LCM) of 94187 and 94191 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94187 and 94191. First we will calculate the prime factors of 94187 and 94191.
Prime Factorization of 94187
Prime factors of 94187 are 97, 971. Prime factorization of 94187 in exponential form is:
94187 = 971 × 9711
Prime Factorization of 94191
Prime factors of 94191 are 3, 31397. Prime factorization of 94191 in exponential form is:
94191 = 31 × 313971
Now multiplying the highest exponent prime factors to calculate the LCM of 94187 and 94191.
LCM(94187,94191) = 971 × 9711 × 31 × 313971
LCM(94187,94191) = 8871567717
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