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What is the Least Common Multiple of 80013 and 80024?

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 80024 is 6402960312.

LCM(80013,80024) = 6402960312

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Least Common Multiple of 80013 and 80024 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 80024, than apply into the LCM equation.

GCF(80013,80024) = 1
LCM(80013,80024) = ( 80013 × 80024) / 1
LCM(80013,80024) = 6402960312 / 1
LCM(80013,80024) = 6402960312

Least Common Multiple (LCM) of 80013 and 80024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80013 and 80024. First we will calculate the prime factors of 80013 and 80024.

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 80024

Prime factors of 80024 are 2, 7, 1429. Prime factorization of 80024 in exponential form is:

80024 = 23 × 71 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 80013 and 80024.

LCM(80013,80024) = 31 × 1491 × 1791 × 23 × 71 × 14291
LCM(80013,80024) = 6402960312