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What is the Least Common Multiple of 80039 and 80046?

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 80039 and 80046 is 6406801794.

LCM(80039,80046) = 6406801794

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Least Common Multiple of 80039 and 80046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80039 and 80046, than apply into the LCM equation.

GCF(80039,80046) = 1
LCM(80039,80046) = ( 80039 × 80046) / 1
LCM(80039,80046) = 6406801794 / 1
LCM(80039,80046) = 6406801794

Least Common Multiple (LCM) of 80039 and 80046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80039 and 80046. First we will calculate the prime factors of 80039 and 80046.

Prime Factorization of 80039

Prime factors of 80039 are 80039. Prime factorization of 80039 in exponential form is:

80039 = 800391

Prime Factorization of 80046

Prime factors of 80046 are 2, 3, 4447. Prime factorization of 80046 in exponential form is:

80046 = 21 × 32 × 44471

Now multiplying the highest exponent prime factors to calculate the LCM of 80039 and 80046.

LCM(80039,80046) = 800391 × 21 × 32 × 44471
LCM(80039,80046) = 6406801794