What is the Least Common Multiple of 94471 and 94485?
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 94471 and 94485 is 8926092435.
LCM(94471,94485) = 8926092435
Least Common Multiple of 94471 and 94485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94471 and 94485, than apply into the LCM equation.
GCF(94471,94485) = 1
LCM(94471,94485) = ( 94471 × 94485) / 1
LCM(94471,94485) = 8926092435 / 1
LCM(94471,94485) = 8926092435
Least Common Multiple (LCM) of 94471 and 94485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94471 and 94485. First we will calculate the prime factors of 94471 and 94485.
Prime Factorization of 94471
Prime factors of 94471 are 13, 43. Prime factorization of 94471 in exponential form is:
94471 = 133 × 431
Prime Factorization of 94485
Prime factors of 94485 are 3, 5, 6299. Prime factorization of 94485 in exponential form is:
94485 = 31 × 51 × 62991
Now multiplying the highest exponent prime factors to calculate the LCM of 94471 and 94485.
LCM(94471,94485) = 133 × 431 × 31 × 51 × 62991
LCM(94471,94485) = 8926092435
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