What is the Least Common Multiple of 93285 and 93294?
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 93285 and 93294 is 966992310.
LCM(93285,93294) = 966992310
Least Common Multiple of 93285 and 93294 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93285 and 93294, than apply into the LCM equation.
GCF(93285,93294) = 9
LCM(93285,93294) = ( 93285 × 93294) / 9
LCM(93285,93294) = 8702930790 / 9
LCM(93285,93294) = 966992310
Least Common Multiple (LCM) of 93285 and 93294 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93285 and 93294. First we will calculate the prime factors of 93285 and 93294.
Prime Factorization of 93285
Prime factors of 93285 are 3, 5, 691. Prime factorization of 93285 in exponential form is:
93285 = 33 × 51 × 6911
Prime Factorization of 93294
Prime factors of 93294 are 2, 3, 71, 73. Prime factorization of 93294 in exponential form is:
93294 = 21 × 32 × 711 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 93285 and 93294.
LCM(93285,93294) = 33 × 51 × 6911 × 21 × 711 × 731
LCM(93285,93294) = 966992310
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