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What is the Least Common Multiple of 90221 and 90227?

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 90221 and 90227 is 8140370167.

LCM(90221,90227) = 8140370167

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Least Common Multiple of 90221 and 90227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90221 and 90227, than apply into the LCM equation.

GCF(90221,90227) = 1
LCM(90221,90227) = ( 90221 × 90227) / 1
LCM(90221,90227) = 8140370167 / 1
LCM(90221,90227) = 8140370167

Least Common Multiple (LCM) of 90221 and 90227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90221 and 90227. First we will calculate the prime factors of 90221 and 90227.

Prime Factorization of 90221

Prime factors of 90221 are 83, 1087. Prime factorization of 90221 in exponential form is:

90221 = 831 × 10871

Prime Factorization of 90227

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

90227 = 902271

Now multiplying the highest exponent prime factors to calculate the LCM of 90221 and 90227.

LCM(90221,90227) = 831 × 10871 × 902271
LCM(90221,90227) = 8140370167