What is the Least Common Multiple of 94481 and 94498?
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 94498 is 8928265538.
LCM(94481,94498) = 8928265538
Least Common Multiple of 94481 and 94498 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 94498, than apply into the LCM equation.
GCF(94481,94498) = 1
LCM(94481,94498) = ( 94481 × 94498) / 1
LCM(94481,94498) = 8928265538 / 1
LCM(94481,94498) = 8928265538
Least Common Multiple (LCM) of 94481 and 94498 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94481 and 94498. First we will calculate the prime factors of 94481 and 94498.
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 94498
Prime factors of 94498 are 2, 37, 1277. Prime factorization of 94498 in exponential form is:
94498 = 21 × 371 × 12771
Now multiplying the highest exponent prime factors to calculate the LCM of 94481 and 94498.
LCM(94481,94498) = 1071 × 8831 × 21 × 371 × 12771
LCM(94481,94498) = 8928265538
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