What is the Least Common Multiple of 93063 and 93067?
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 93063 and 93067 is 8661094221.
LCM(93063,93067) = 8661094221
Least Common Multiple of 93063 and 93067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93063 and 93067, than apply into the LCM equation.
GCF(93063,93067) = 1
LCM(93063,93067) = ( 93063 × 93067) / 1
LCM(93063,93067) = 8661094221 / 1
LCM(93063,93067) = 8661094221
Least Common Multiple (LCM) of 93063 and 93067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93063 and 93067. First we will calculate the prime factors of 93063 and 93067.
Prime Factorization of 93063
Prime factors of 93063 are 3, 67, 463. Prime factorization of 93063 in exponential form is:
93063 = 31 × 671 × 4631
Prime Factorization of 93067
Prime factors of 93067 are 13, 7159. Prime factorization of 93067 in exponential form is:
93067 = 131 × 71591
Now multiplying the highest exponent prime factors to calculate the LCM of 93063 and 93067.
LCM(93063,93067) = 31 × 671 × 4631 × 131 × 71591
LCM(93063,93067) = 8661094221
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