What is the Least Common Multiple of 93276 and 93281?
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 93276 and 93281 is 8700878556.
LCM(93276,93281) = 8700878556
Least Common Multiple of 93276 and 93281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93276 and 93281, than apply into the LCM equation.
GCF(93276,93281) = 1
LCM(93276,93281) = ( 93276 × 93281) / 1
LCM(93276,93281) = 8700878556 / 1
LCM(93276,93281) = 8700878556
Least Common Multiple (LCM) of 93276 and 93281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93276 and 93281. First we will calculate the prime factors of 93276 and 93281.
Prime Factorization of 93276
Prime factors of 93276 are 2, 3, 2591. Prime factorization of 93276 in exponential form is:
93276 = 22 × 32 × 25911
Prime Factorization of 93281
Prime factors of 93281 are 93281. Prime factorization of 93281 in exponential form is:
93281 = 932811
Now multiplying the highest exponent prime factors to calculate the LCM of 93276 and 93281.
LCM(93276,93281) = 22 × 32 × 25911 × 932811
LCM(93276,93281) = 8700878556
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