What is the Least Common Multiple of 90325 and 90329?
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 90325 and 90329 is 8158966925.
LCM(90325,90329) = 8158966925
Least Common Multiple of 90325 and 90329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90325 and 90329, than apply into the LCM equation.
GCF(90325,90329) = 1
LCM(90325,90329) = ( 90325 × 90329) / 1
LCM(90325,90329) = 8158966925 / 1
LCM(90325,90329) = 8158966925
Least Common Multiple (LCM) of 90325 and 90329 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90325 and 90329. First we will calculate the prime factors of 90325 and 90329.
Prime Factorization of 90325
Prime factors of 90325 are 5, 3613. Prime factorization of 90325 in exponential form is:
90325 = 52 × 36131
Prime Factorization of 90329
Prime factors of 90329 are 59, 1531. Prime factorization of 90329 in exponential form is:
90329 = 591 × 15311
Now multiplying the highest exponent prime factors to calculate the LCM of 90325 and 90329.
LCM(90325,90329) = 52 × 36131 × 591 × 15311
LCM(90325,90329) = 8158966925
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