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What is the Least Common Multiple of 90062 and 90073?

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 90062 and 90073 is 8112154526.

LCM(90062,90073) = 8112154526

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Least Common Multiple of 90062 and 90073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90062 and 90073, than apply into the LCM equation.

GCF(90062,90073) = 1
LCM(90062,90073) = ( 90062 × 90073) / 1
LCM(90062,90073) = 8112154526 / 1
LCM(90062,90073) = 8112154526

Least Common Multiple (LCM) of 90062 and 90073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90062 and 90073. First we will calculate the prime factors of 90062 and 90073.

Prime Factorization of 90062

Prime factors of 90062 are 2, 7, 919. Prime factorization of 90062 in exponential form is:

90062 = 21 × 72 × 9191

Prime Factorization of 90073

Prime factors of 90073 are 90073. Prime factorization of 90073 in exponential form is:

90073 = 900731

Now multiplying the highest exponent prime factors to calculate the LCM of 90062 and 90073.

LCM(90062,90073) = 21 × 72 × 9191 × 900731
LCM(90062,90073) = 8112154526