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What is the Least Common Multiple of 80522 and 80537?

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 80522 and 80537 is 6485000314.

LCM(80522,80537) = 6485000314

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Least Common Multiple of 80522 and 80537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80522 and 80537, than apply into the LCM equation.

GCF(80522,80537) = 1
LCM(80522,80537) = ( 80522 × 80537) / 1
LCM(80522,80537) = 6485000314 / 1
LCM(80522,80537) = 6485000314

Least Common Multiple (LCM) of 80522 and 80537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80522 and 80537. First we will calculate the prime factors of 80522 and 80537.

Prime Factorization of 80522

Prime factors of 80522 are 2, 13, 19, 163. Prime factorization of 80522 in exponential form is:

80522 = 21 × 131 × 191 × 1631

Prime Factorization of 80537

Prime factors of 80537 are 80537. Prime factorization of 80537 in exponential form is:

80537 = 805371

Now multiplying the highest exponent prime factors to calculate the LCM of 80522 and 80537.

LCM(80522,80537) = 21 × 131 × 191 × 1631 × 805371
LCM(80522,80537) = 6485000314