What is the Least Common Multiple of 94481 and 94499?
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 94481 and 94499 is 8928360019.
LCM(94481,94499) = 8928360019
Least Common Multiple of 94481 and 94499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94481 and 94499, than apply into the LCM equation.
GCF(94481,94499) = 1
LCM(94481,94499) = ( 94481 × 94499) / 1
LCM(94481,94499) = 8928360019 / 1
LCM(94481,94499) = 8928360019
Least Common Multiple (LCM) of 94481 and 94499 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94481 and 94499. First we will calculate the prime factors of 94481 and 94499.
Prime Factorization of 94481
Prime factors of 94481 are 107, 883. Prime factorization of 94481 in exponential form is:
94481 = 1071 × 8831
Prime Factorization of 94499
Prime factors of 94499 are 53, 1783. Prime factorization of 94499 in exponential form is:
94499 = 531 × 17831
Now multiplying the highest exponent prime factors to calculate the LCM of 94481 and 94499.
LCM(94481,94499) = 1071 × 8831 × 531 × 17831
LCM(94481,94499) = 8928360019
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