What is the Least Common Multiple of 94363 and 94377?
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 94363 and 94377 is 8905696851.
LCM(94363,94377) = 8905696851
Least Common Multiple of 94363 and 94377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94363 and 94377, than apply into the LCM equation.
GCF(94363,94377) = 1
LCM(94363,94377) = ( 94363 × 94377) / 1
LCM(94363,94377) = 8905696851 / 1
LCM(94363,94377) = 8905696851
Least Common Multiple (LCM) of 94363 and 94377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94363 and 94377. First we will calculate the prime factors of 94363 and 94377.
Prime Factorization of 94363
Prime factors of 94363 are 197, 479. Prime factorization of 94363 in exponential form is:
94363 = 1971 × 4791
Prime Factorization of 94377
Prime factors of 94377 are 3, 163, 193. Prime factorization of 94377 in exponential form is:
94377 = 31 × 1631 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 94363 and 94377.
LCM(94363,94377) = 1971 × 4791 × 31 × 1631 × 1931
LCM(94363,94377) = 8905696851
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