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What is the Least Common Multiple of 90227 and 90235?

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 90227 and 90235 is 8141633345.

LCM(90227,90235) = 8141633345

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Least Common Multiple of 90227 and 90235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90227 and 90235, than apply into the LCM equation.

GCF(90227,90235) = 1
LCM(90227,90235) = ( 90227 × 90235) / 1
LCM(90227,90235) = 8141633345 / 1
LCM(90227,90235) = 8141633345

Least Common Multiple (LCM) of 90227 and 90235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90227 and 90235. First we will calculate the prime factors of 90227 and 90235.

Prime Factorization of 90227

Prime factors of 90227 are 90227. Prime factorization of 90227 in exponential form is:

90227 = 902271

Prime Factorization of 90235

Prime factors of 90235 are 5, 18047. Prime factorization of 90235 in exponential form is:

90235 = 51 × 180471

Now multiplying the highest exponent prime factors to calculate the LCM of 90227 and 90235.

LCM(90227,90235) = 902271 × 51 × 180471
LCM(90227,90235) = 8141633345