What is the Least Common Multiple of 93815 and 93832?
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 93815 and 93832 is 8802849080.
LCM(93815,93832) = 8802849080
Least Common Multiple of 93815 and 93832 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93815 and 93832, than apply into the LCM equation.
GCF(93815,93832) = 1
LCM(93815,93832) = ( 93815 × 93832) / 1
LCM(93815,93832) = 8802849080 / 1
LCM(93815,93832) = 8802849080
Least Common Multiple (LCM) of 93815 and 93832 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93815 and 93832. First we will calculate the prime factors of 93815 and 93832.
Prime Factorization of 93815
Prime factors of 93815 are 5, 29, 647. Prime factorization of 93815 in exponential form is:
93815 = 51 × 291 × 6471
Prime Factorization of 93832
Prime factors of 93832 are 2, 37, 317. Prime factorization of 93832 in exponential form is:
93832 = 23 × 371 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 93815 and 93832.
LCM(93815,93832) = 51 × 291 × 6471 × 23 × 371 × 3171
LCM(93815,93832) = 8802849080
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