What is the Least Common Multiple of 93057 and 93063?
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 93057 and 93063 is 2886721197.
LCM(93057,93063) = 2886721197
Least Common Multiple of 93057 and 93063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93057 and 93063, than apply into the LCM equation.
GCF(93057,93063) = 3
LCM(93057,93063) = ( 93057 × 93063) / 3
LCM(93057,93063) = 8660163591 / 3
LCM(93057,93063) = 2886721197
Least Common Multiple (LCM) of 93057 and 93063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93057 and 93063. First we will calculate the prime factors of 93057 and 93063.
Prime Factorization of 93057
Prime factors of 93057 are 3, 31019. Prime factorization of 93057 in exponential form is:
93057 = 31 × 310191
Prime Factorization of 93063
Prime factors of 93063 are 3, 67, 463. Prime factorization of 93063 in exponential form is:
93063 = 31 × 671 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 93057 and 93063.
LCM(93057,93063) = 31 × 310191 × 671 × 4631
LCM(93057,93063) = 2886721197
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