What is the Least Common Multiple of 90815 and 90825?
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 90815 and 90825 is 1649654475.
LCM(90815,90825) = 1649654475
Least Common Multiple of 90815 and 90825 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90815 and 90825, than apply into the LCM equation.
GCF(90815,90825) = 5
LCM(90815,90825) = ( 90815 × 90825) / 5
LCM(90815,90825) = 8248272375 / 5
LCM(90815,90825) = 1649654475
Least Common Multiple (LCM) of 90815 and 90825 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90815 and 90825. First we will calculate the prime factors of 90815 and 90825.
Prime Factorization of 90815
Prime factors of 90815 are 5, 41, 443. Prime factorization of 90815 in exponential form is:
90815 = 51 × 411 × 4431
Prime Factorization of 90825
Prime factors of 90825 are 3, 5, 7, 173. Prime factorization of 90825 in exponential form is:
90825 = 31 × 52 × 71 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 90815 and 90825.
LCM(90815,90825) = 52 × 411 × 4431 × 31 × 71 × 1731
LCM(90815,90825) = 1649654475
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