What is the Least Common Multiple of 93575 and 93593?
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 93575 and 93593 is 8757964975.
LCM(93575,93593) = 8757964975
Least Common Multiple of 93575 and 93593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93575 and 93593, than apply into the LCM equation.
GCF(93575,93593) = 1
LCM(93575,93593) = ( 93575 × 93593) / 1
LCM(93575,93593) = 8757964975 / 1
LCM(93575,93593) = 8757964975
Least Common Multiple (LCM) of 93575 and 93593 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93575 and 93593. First we will calculate the prime factors of 93575 and 93593.
Prime Factorization of 93575
Prime factors of 93575 are 5, 19, 197. Prime factorization of 93575 in exponential form is:
93575 = 52 × 191 × 1971
Prime Factorization of 93593
Prime factors of 93593 are 173, 541. Prime factorization of 93593 in exponential form is:
93593 = 1731 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 93575 and 93593.
LCM(93575,93593) = 52 × 191 × 1971 × 1731 × 5411
LCM(93575,93593) = 8757964975
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