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What is the Least Common Multiple of 85577 and 85594?

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 85577 and 85594 is 7324877738.

LCM(85577,85594) = 7324877738

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Least Common Multiple of 85577 and 85594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85577 and 85594, than apply into the LCM equation.

GCF(85577,85594) = 1
LCM(85577,85594) = ( 85577 × 85594) / 1
LCM(85577,85594) = 7324877738 / 1
LCM(85577,85594) = 7324877738

Least Common Multiple (LCM) of 85577 and 85594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85577 and 85594. First we will calculate the prime factors of 85577 and 85594.

Prime Factorization of 85577

Prime factors of 85577 are 85577. Prime factorization of 85577 in exponential form is:

85577 = 855771

Prime Factorization of 85594

Prime factors of 85594 are 2, 42797. Prime factorization of 85594 in exponential form is:

85594 = 21 × 427971

Now multiplying the highest exponent prime factors to calculate the LCM of 85577 and 85594.

LCM(85577,85594) = 855771 × 21 × 427971
LCM(85577,85594) = 7324877738