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What is the Least Common Multiple of 85519 and 85527?

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 85519 and 85527 is 7314183513.

LCM(85519,85527) = 7314183513

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Least Common Multiple of 85519 and 85527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85519 and 85527, than apply into the LCM equation.

GCF(85519,85527) = 1
LCM(85519,85527) = ( 85519 × 85527) / 1
LCM(85519,85527) = 7314183513 / 1
LCM(85519,85527) = 7314183513

Least Common Multiple (LCM) of 85519 and 85527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85519 and 85527. First we will calculate the prime factors of 85519 and 85527.

Prime Factorization of 85519

Prime factors of 85519 are 7, 19, 643. Prime factorization of 85519 in exponential form is:

85519 = 71 × 191 × 6431

Prime Factorization of 85527

Prime factors of 85527 are 3, 13, 17, 43. Prime factorization of 85527 in exponential form is:

85527 = 32 × 131 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 85519 and 85527.

LCM(85519,85527) = 71 × 191 × 6431 × 32 × 131 × 171 × 431
LCM(85519,85527) = 7314183513