What is the Least Common Multiple of 93157 and 93175?
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 93157 and 93175 is 8679903475.
LCM(93157,93175) = 8679903475
Least Common Multiple of 93157 and 93175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93157 and 93175, than apply into the LCM equation.
GCF(93157,93175) = 1
LCM(93157,93175) = ( 93157 × 93175) / 1
LCM(93157,93175) = 8679903475 / 1
LCM(93157,93175) = 8679903475
Least Common Multiple (LCM) of 93157 and 93175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93157 and 93175. First we will calculate the prime factors of 93157 and 93175.
Prime Factorization of 93157
Prime factors of 93157 are 19, 4903. Prime factorization of 93157 in exponential form is:
93157 = 191 × 49031
Prime Factorization of 93175
Prime factors of 93175 are 5, 3727. Prime factorization of 93175 in exponential form is:
93175 = 52 × 37271
Now multiplying the highest exponent prime factors to calculate the LCM of 93157 and 93175.
LCM(93157,93175) = 191 × 49031 × 52 × 37271
LCM(93157,93175) = 8679903475
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