What is the Least Common Multiple of 93061 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 93061 and 93065 is 8660721965.
LCM(93061,93065) = 8660721965
Least Common Multiple of 93061 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 93061 and 93065, than apply into the LCM equation.
GCF(93061,93065) = 1
LCM(93061,93065) = ( 93061 × 93065) / 1
LCM(93061,93065) = 8660721965 / 1
LCM(93061,93065) = 8660721965
Least Common Multiple (LCM) of 93061 and 93065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93061 and 93065. First we will calculate the prime factors of 93061 and 93065.
Prime Factorization of 93061
Prime factors of 93061 are 29, 3209. Prime factorization of 93061 in exponential form is:
93061 = 291 × 32091
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 93061 and 93065.
LCM(93061,93065) = 291 × 32091 × 51 × 71 × 26591
LCM(93061,93065) = 8660721965
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