What is the Least Common Multiple of 93055 and 93065?
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 93055 and 93065 is 1732032715.
LCM(93055,93065) = 1732032715
Least Common Multiple of 93055 and 93065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93055 and 93065, than apply into the LCM equation.
GCF(93055,93065) = 5
LCM(93055,93065) = ( 93055 × 93065) / 5
LCM(93055,93065) = 8660163575 / 5
LCM(93055,93065) = 1732032715
Least Common Multiple (LCM) of 93055 and 93065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93055 and 93065. First we will calculate the prime factors of 93055 and 93065.
Prime Factorization of 93055
Prime factors of 93055 are 5, 37, 503. Prime factorization of 93055 in exponential form is:
93055 = 51 × 371 × 5031
Prime Factorization of 93065
Prime factors of 93065 are 5, 7, 2659. Prime factorization of 93065 in exponential form is:
93065 = 51 × 71 × 26591
Now multiplying the highest exponent prime factors to calculate the LCM of 93055 and 93065.
LCM(93055,93065) = 51 × 371 × 5031 × 71 × 26591
LCM(93055,93065) = 1732032715
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