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What is the Least Common Multiple of 80013 and 80030?

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 80013 and 80030 is 6403440390.

LCM(80013,80030) = 6403440390

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Least Common Multiple of 80013 and 80030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80013 and 80030, than apply into the LCM equation.

GCF(80013,80030) = 1
LCM(80013,80030) = ( 80013 × 80030) / 1
LCM(80013,80030) = 6403440390 / 1
LCM(80013,80030) = 6403440390

Least Common Multiple (LCM) of 80013 and 80030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80013 and 80030. First we will calculate the prime factors of 80013 and 80030.

Prime Factorization of 80013

Prime factors of 80013 are 3, 149, 179. Prime factorization of 80013 in exponential form is:

80013 = 31 × 1491 × 1791

Prime Factorization of 80030

Prime factors of 80030 are 2, 5, 53, 151. Prime factorization of 80030 in exponential form is:

80030 = 21 × 51 × 531 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 80013 and 80030.

LCM(80013,80030) = 31 × 1491 × 1791 × 21 × 51 × 531 × 1511
LCM(80013,80030) = 6403440390