What is the Least Common Multiple of 94559 and 94571?
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 94559 and 94571 is 8942539189.
LCM(94559,94571) = 8942539189
Least Common Multiple of 94559 and 94571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94559 and 94571, than apply into the LCM equation.
GCF(94559,94571) = 1
LCM(94559,94571) = ( 94559 × 94571) / 1
LCM(94559,94571) = 8942539189 / 1
LCM(94559,94571) = 8942539189
Least Common Multiple (LCM) of 94559 and 94571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94559 and 94571. First we will calculate the prime factors of 94559 and 94571.
Prime Factorization of 94559
Prime factors of 94559 are 94559. Prime factorization of 94559 in exponential form is:
94559 = 945591
Prime Factorization of 94571
Prime factors of 94571 are 17, 5563. Prime factorization of 94571 in exponential form is:
94571 = 171 × 55631
Now multiplying the highest exponent prime factors to calculate the LCM of 94559 and 94571.
LCM(94559,94571) = 945591 × 171 × 55631
LCM(94559,94571) = 8942539189
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