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What is the Least Common Multiple of 80522 and 80530?

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 80530 is 3242218330.

LCM(80522,80530) = 3242218330

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Least Common Multiple of 80522 and 80530 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 80530, than apply into the LCM equation.

GCF(80522,80530) = 2
LCM(80522,80530) = ( 80522 × 80530) / 2
LCM(80522,80530) = 6484436660 / 2
LCM(80522,80530) = 3242218330

Least Common Multiple (LCM) of 80522 and 80530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80522 and 80530. First we will calculate the prime factors of 80522 and 80530.

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 80530

Prime factors of 80530 are 2, 5, 8053. Prime factorization of 80530 in exponential form is:

80530 = 21 × 51 × 80531

Now multiplying the highest exponent prime factors to calculate the LCM of 80522 and 80530.

LCM(80522,80530) = 21 × 131 × 191 × 1631 × 51 × 80531
LCM(80522,80530) = 3242218330