What is the Least Common Multiple of 93567 and 93581?
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 93567 and 93581 is 8756093427.
LCM(93567,93581) = 8756093427
Least Common Multiple of 93567 and 93581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93567 and 93581, than apply into the LCM equation.
GCF(93567,93581) = 1
LCM(93567,93581) = ( 93567 × 93581) / 1
LCM(93567,93581) = 8756093427 / 1
LCM(93567,93581) = 8756093427
Least Common Multiple (LCM) of 93567 and 93581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93567 and 93581. First we will calculate the prime factors of 93567 and 93581.
Prime Factorization of 93567
Prime factors of 93567 are 3, 31189. Prime factorization of 93567 in exponential form is:
93567 = 31 × 311891
Prime Factorization of 93581
Prime factors of 93581 are 93581. Prime factorization of 93581 in exponential form is:
93581 = 935811
Now multiplying the highest exponent prime factors to calculate the LCM of 93567 and 93581.
LCM(93567,93581) = 31 × 311891 × 935811
LCM(93567,93581) = 8756093427
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