What is the Least Common Multiple of 93315 and 93329?
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 93315 and 93329 is 8708995635.
LCM(93315,93329) = 8708995635
Least Common Multiple of 93315 and 93329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93315 and 93329, than apply into the LCM equation.
GCF(93315,93329) = 1
LCM(93315,93329) = ( 93315 × 93329) / 1
LCM(93315,93329) = 8708995635 / 1
LCM(93315,93329) = 8708995635
Least Common Multiple (LCM) of 93315 and 93329 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93315 and 93329. First we will calculate the prime factors of 93315 and 93329.
Prime Factorization of 93315
Prime factors of 93315 are 3, 5, 6221. Prime factorization of 93315 in exponential form is:
93315 = 31 × 51 × 62211
Prime Factorization of 93329
Prime factors of 93329 are 93329. Prime factorization of 93329 in exponential form is:
93329 = 933291
Now multiplying the highest exponent prime factors to calculate the LCM of 93315 and 93329.
LCM(93315,93329) = 31 × 51 × 62211 × 933291
LCM(93315,93329) = 8708995635
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