What is the Least Common Multiple of 94571 and 94581?
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 94571 and 94581 is 8944619751.
LCM(94571,94581) = 8944619751
Least Common Multiple of 94571 and 94581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94571 and 94581, than apply into the LCM equation.
GCF(94571,94581) = 1
LCM(94571,94581) = ( 94571 × 94581) / 1
LCM(94571,94581) = 8944619751 / 1
LCM(94571,94581) = 8944619751
Least Common Multiple (LCM) of 94571 and 94581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94571 and 94581. First we will calculate the prime factors of 94571 and 94581.
Prime Factorization of 94571
Prime factors of 94571 are 17, 5563. Prime factorization of 94571 in exponential form is:
94571 = 171 × 55631
Prime Factorization of 94581
Prime factors of 94581 are 3, 31, 113. Prime factorization of 94581 in exponential form is:
94581 = 33 × 311 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 94571 and 94581.
LCM(94571,94581) = 171 × 55631 × 33 × 311 × 1131
LCM(94571,94581) = 8944619751
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