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What is the Least Common Multiple of 90425 and 90439?

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 90425 and 90439 is 8177946575.

LCM(90425,90439) = 8177946575

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Least Common Multiple of 90425 and 90439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90425 and 90439, than apply into the LCM equation.

GCF(90425,90439) = 1
LCM(90425,90439) = ( 90425 × 90439) / 1
LCM(90425,90439) = 8177946575 / 1
LCM(90425,90439) = 8177946575

Least Common Multiple (LCM) of 90425 and 90439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90425 and 90439. First we will calculate the prime factors of 90425 and 90439.

Prime Factorization of 90425

Prime factors of 90425 are 5, 3617. Prime factorization of 90425 in exponential form is:

90425 = 52 × 36171

Prime Factorization of 90439

Prime factors of 90439 are 90439. Prime factorization of 90439 in exponential form is:

90439 = 904391

Now multiplying the highest exponent prime factors to calculate the LCM of 90425 and 90439.

LCM(90425,90439) = 52 × 36171 × 904391
LCM(90425,90439) = 8177946575