What is the Least Common Multiple of 94737 and 94745?
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 94737 and 94745 is 8975857065.
LCM(94737,94745) = 8975857065
Least Common Multiple of 94737 and 94745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94737 and 94745, than apply into the LCM equation.
GCF(94737,94745) = 1
LCM(94737,94745) = ( 94737 × 94745) / 1
LCM(94737,94745) = 8975857065 / 1
LCM(94737,94745) = 8975857065
Least Common Multiple (LCM) of 94737 and 94745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94737 and 94745. First we will calculate the prime factors of 94737 and 94745.
Prime Factorization of 94737
Prime factors of 94737 are 3, 23, 1373. Prime factorization of 94737 in exponential form is:
94737 = 31 × 231 × 13731
Prime Factorization of 94745
Prime factors of 94745 are 5, 7, 2707. Prime factorization of 94745 in exponential form is:
94745 = 51 × 71 × 27071
Now multiplying the highest exponent prime factors to calculate the LCM of 94737 and 94745.
LCM(94737,94745) = 31 × 231 × 13731 × 51 × 71 × 27071
LCM(94737,94745) = 8975857065
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