What is the Least Common Multiple of 90207 and 90225?
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 90207 and 90225 is 904325175.
LCM(90207,90225) = 904325175
Least Common Multiple of 90207 and 90225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90207 and 90225, than apply into the LCM equation.
GCF(90207,90225) = 9
LCM(90207,90225) = ( 90207 × 90225) / 9
LCM(90207,90225) = 8138926575 / 9
LCM(90207,90225) = 904325175
Least Common Multiple (LCM) of 90207 and 90225 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90207 and 90225. First we will calculate the prime factors of 90207 and 90225.
Prime Factorization of 90207
Prime factors of 90207 are 3, 13, 257. Prime factorization of 90207 in exponential form is:
90207 = 33 × 131 × 2571
Prime Factorization of 90225
Prime factors of 90225 are 3, 5, 401. Prime factorization of 90225 in exponential form is:
90225 = 32 × 52 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 90207 and 90225.
LCM(90207,90225) = 33 × 131 × 2571 × 52 × 4011
LCM(90207,90225) = 904325175
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